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On line Solution of Monovariate Equation：
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    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation ((100%*(10-1)+X)/10-X)/(100%*(10-1)+X)/10*0.25 = (X-(85%*(10-1)+X)/10)/(85%*(10-1)+X)/10*0.5 .
    Question type: Equation
    Solution:Original question:
     ((
100
100
(10 − 1) + X ) ÷ 10 − X ) ÷ (
100
100
(10 − 1) + X ) ÷ 10 ×
1
4
 = ( X − (
85
100
(10 − 1) + X ) ÷ 10) ÷ (
85
100
(10 − 1) + X ) ÷ 10 ×
1
2
     Multiply both sides of the equation by:(
100
100
(10 − 1) + X ) ,  (
85
100
(10 − 1) + X )
     ((
100
100
(10 − 1) + X ) ÷ 10 − X ) ÷ 10 ×
1
4
(
85
100
(10 − 1) + X ) = ( X − (
85
100
(10 − 1) + X ) ÷ 10) ÷ 10 ×
1
2
(
100
100
(10 − 1) + X )
    Remove a bracket on the left of the equation:：
     (
100
100
(10 − 1) + X ) ÷ 10 ÷ 10 ×
1
4
(
85
100
(10 − 1) + X ) − X ÷ 10 ×
1
4
(
85
100
(10 − 1) + X ) = ( X − (
85
100
(10 − 1) + X ) ÷ 10) ÷ 10 ×
1
2
(
100
100
(10 − 1) + X )
    Remove a bracket on the right of the equation:：
     (
100
100
(10 − 1) + X ) ÷ 10 ÷ 10 ×
1
4
(
85
100
(10 − 1) + X ) − X ÷ 10 ×
1
4
(
85
100
(10 − 1) + X ) = X ÷ 10 ×
1
2
(
100
100
(10 − 1) + X ) − (
85
100
(10 − 1) + X ) ÷ 10 ÷ 10 ×
1
2
(
100
100
(10 − 1) + X )
    The equation is reduced to :
     (
100
100
(10 − 1) + X ) ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) = X ×
1
20
(
100
100
(10 − 1) + X ) − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the left of the equation:
     
100
100
(10 − 1) ×
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) = X ×
1
20
(
100
100
(10 − 1) + X ) − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the right of the equation:：
     
100
100
(10 − 1) ×
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) = X ×
1
20
 ×
100
100
(10 − 1) + X ×
1
20
 X − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    The equation is reduced to :
     
1
400
(10 − 1)(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) = X ×
1
20
(10 − 1) + X ×
1
20
 X − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the left of the equation:
     
1
400
 × 10(
85
100
(10 − 1) + X ) −
1
400
 × 1(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) = X ×
1
20
(10 − 1) + X ×
1
20
 X − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the right of the equation:：
     
1
400
 × 10(
85
100
(10 − 1) + X ) −
1
400
 × 1(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) = X ×
1
20
 × 10 − X ×
1
20
 × 1 + X ×
1
20
 X − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    The equation is reduced to :
     
1
40
(
85
100
(10 − 1) + X ) −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) = X ×
1
2
 − X ×
1
20
 + X ×
1
20
 X − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    The equation is reduced to :
     
1
40
(
85
100
(10 − 1) + X ) −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) =
9
20
 X + X ×
1
20
 X − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the left of the equation:
     
1
40
 ×
85
100
(10 − 1) +
1
40
 X −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
 =
9
20
 X + X ×
1
20
 X − (
85
100
(10 − 1) + X ) ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the right of the equation:：
     
1
40
 ×
85
100
(10 − 1) +
1
40
 X −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
 =
9
20
 X + X ×
1
20
 X −
85
100
(10 − 1) ×
1
200
(
100
100
(10 − 1) + X ) − X ×
1
200
(
100
100
(10 − 1) + X )
    The equation is reduced to :
     
17
800
(10 − 1) +
1
40
 X −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) =
9
20
 X + X ×
1
20
 X −
17
4000
(10 − 1)(
100
100
(10 − 1) + X ) − X ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the left of the equation:
     
17
800
 × 10 −
17
800
 × 1 +
1
40
 X −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X =
9
20
 X + X ×
1
20
 X −
17
4000
(10 − 1)(
100
100
(10 − 1) + X ) − X ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the right of the equation:：
     
17
800
 × 10 −
17
800
 × 1 +
1
40
 X −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X =
9
20
 X + X ×
1
20
 X −
17
4000
 × 10(
100
100
(10 − 1) + X ) +
17
4000
 × 1(
100
100
(10 − 1) + X ) − X
    The equation is reduced to :
     
17
80
 −
17
800
 +
1
40
 X −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) =
9
20
 X + X ×
1
20
 X −
17
400
(
100
100
(10 − 1) + X ) +
17
4000
(
100
100
(10 − 1) + X ) − X ×
1
200
(
100
100
(10 − 1) + X )
    The equation is reduced to :
     
153
800
 +
1
40
 X −
1
400
(
85
100
(10 − 1) + X ) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) =
9
20
 X + X ×
1
20
 X −
17
400
(
100
100
(10 − 1) + X ) +
17
4000
(
100
100
(10 − 1) + X ) − X ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the left of the equation:
     
153
800
 +
1
40
 X −
1
400
 ×
85
100
(10 − 1) −
1
400
 X + X ×
1
400
(
85
100
(10 − 1) + X ) − X =
9
20
 X + X ×
1
20
 X −
17
400
(
100
100
(10 − 1) + X ) +
17
4000
(
100
100
(10 − 1) + X ) − X ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the right of the equation:：
     
153
800
 +
1
40
 X −
1
400
 ×
85
100
(10 − 1) −
1
400
 X + X ×
1
400
(
85
100
(10 − 1) + X ) − X =
9
20
 X + X ×
1
20
 X −
17
400
 ×
100
100
(10 − 1) −
17
400
 X +
17
4000
(
100
100
(10 − 1) + X )
    The equation is reduced to :
     
153
800
 +
1
40
 X −
17
8000
(10 − 1) −
1
400
 X + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
 =
9
20
 X + X ×
1
20
 X −
17
400
(10 − 1) −
17
400
 X +
17
4000
(
100
100
(10 − 1) + X ) − X
    The equation is reduced to :
     
153
800
 +
9
400
 X −
17
8000
(10 − 1) + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
(
85
100
(10 − 1) + X ) =
163
400
 X + X ×
1
20
 X −
17
400
(10 − 1) +
17
4000
(
100
100
(10 − 1) + X ) − X ×
1
200
(
100
100
(10 − 1) + X )
    Remove a bracket on the left of the equation:
     
153
800
 +
9
400
 X −
17
8000
 × 10 +
17
8000
 × 1 + X ×
1
400
(
85
100
(10 − 1) + X ) − X ×
1
40
 =
163
400
 X + X ×
1
20
 X −
17
400
(10 − 1) +
17
4000
(
100
100
(10 − 1) + X ) − X ×
1
200
(
100
100
(10 − 1) + X )

    The solution of the equation:
        X1≈-8.545236 , keep 6 decimal places
        X2≈0.895236 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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