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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the 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 0.5((0.5((125.875+x)/(1.07+x)+(125.625+x)/(1.05+x))/(1.06+x))+(0.5((125.625+x)/(1.05+x)+(125.375+x)/(1.03+x))/(1.04+x)))/(1.05+x) = 0 .
    Question type: Equation
    Solution:Original question:
     
1
2
((
1
2
((
1007
8
 + x ) ÷ (
107
100
 + x ) + (
1005
8
 + x ) ÷ (
21
20
 + x )) ÷ (
53
50
 + x )) + (
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))) ÷ (
21
20
 + x ) = 0
     Multiply both sides of the equation by:(
21
20
 + x )
     
1
2
((
1
2
((
1007
8
 + x ) ÷ (
107
100
 + x ) + (
1005
8
 + x ) ÷ (
21
20
 + x )) ÷ (
53
50
 + x )) + (
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))) = 0
    Remove a bracket on the left of the equation:：
     
1
2
(
1
2
((
1007
8
 + x ) ÷ (
107
100
 + x ) + (
1005
8
 + x ) ÷ (
21
20
 + x )) ÷ (
53
50
 + x )) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x )) = 0
    Remove a bracket on the left of the equation:
     
1
2
 ×
1
2
((
1007
8
 + x ) ÷ (
107
100
 + x ) + (
1005
8
 + x ) ÷ (
21
20
 + x )) ÷ (
53
50
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x )) = 0
    The equation is reduced to :
     
1
4
((
1007
8
 + x ) ÷ (
107
100
 + x ) + (
1005
8
 + x ) ÷ (
21
20
 + x )) ÷ (
53
50
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x )) = 0
     Multiply both sides of the equation by:(
53
50
 + x )
     
1
4
((
1007
8
 + x ) ÷ (
107
100
 + x ) + (
1005
8
 + x ) ÷ (
21
20
 + x )) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x ) = 0
    Remove a bracket on the left of the equation:
     
1
4
(
1007
8
 + x ) ÷ (
107
100
 + x ) +
1
4
(
1005
8
 + x ) ÷ (
21
20
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x ) = 0
     Multiply both sides of the equation by:(
107
100
 + x )
     
1
4
(
1007
8
 + x ) +
1
4
(
1005
8
 + x ) ÷ (
21
20
 + x ) × (
107
100
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x )(
107
100
 + x ) = 0
    Remove a bracket on the left of the equation:
     
1
4
 ×
1007
8
 +
1
4
 x +
1
4
(
1005
8
 + x ) ÷ (
21
20
 + x ) × (
107
100
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x )(
107
100
 + x ) = 0
    The equation is reduced to :
     
1007
32
 +
1
4
 x +
1
4
(
1005
8
 + x ) ÷ (
21
20
 + x ) × (
107
100
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x )(
107
100
 + x ) = 0
     Multiply both sides of the equation by:(
21
20
 + x )
     
1007
32
(
21
20
 + x ) +
1
4
 x (
21
20
 + x ) +
1
4
(
1005
8
 + x )(
107
100
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x )(
107
100
 + x ) = 0
    Remove a bracket on the left of the equation:
     
1007
32
 ×
21
20
 +
1007
32
 x +
1
4
 x (
21
20
 + x ) +
1
4
(
1005
8
 + x )(
107
100
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x )) = 0
    The equation is reduced to :
     
21147
640
 +
1007
32
 x +
1
4
 x (
21
20
 + x ) +
1
4
(
1005
8
 + x )(
107
100
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x ) = 0
    Remove a bracket on the left of the equation:
     
21147
640
 +
1007
32
 x +
1
4
 x ×
21
20
 +
1
4
 x x +
1
4
(
1005
8
 + x )(
107
100
 + x ) = 0
    The equation is reduced to :
     
21147
640
 +
1007
32
 x +
21
80
 x +
1
4
 x x +
1
4
(
1005
8
 + x )(
107
100
 + x ) +
1
2
 = 0
    The equation is reduced to :
     
21147
640
 +
5077
160
 x +
1
4
 x x +
1
4
(
1005
8
 + x )(
107
100
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x ) = 0
    Remove a bracket on the left of the equation:
     
21147
640
 +
5077
160
 x +
1
4
 x x +
1
4
 ×
1005
8
(
107
100
 + x ) +
1
4
 x (
107
100
 + x ) = 0
    The equation is reduced to :
     
21147
640
 +
5077
160
 x +
1
4
 x x +
1005
32
(
107
100
 + x ) +
1
4
 x (
107
100
 + x ) +
1
2
 = 0
    Remove a bracket on the left of the equation:
     
21147
640
 +
5077
160
 x +
1
4
 x x +
1005
32
 ×
107
100
 +
1005
32
 x +
1
4
 x = 0
    The equation is reduced to :
     
21147
640
 +
5077
160
 x +
1
4
 x x +
21507
640
 +
1005
32
 x +
1
4
 x (
107
100
 + x ) = 0
    The equation is reduced to :
     
21327
320
 +
5051
80
 x +
1
4
 x x +
1
4
 x (
107
100
 + x ) +
1
2
(
1
2
((
1005
8
 + x ) ÷ (
21
20
 + x ) + (
1003
8
 + x ) ÷ (
103
100
 + x )) ÷ (
26
25
 + x ))(
53
50
 + x ) = 0
    Remove a bracket on the left of the equation:
     
21327
320
 +
5051
80
 x +
1
4
 x x +
1
4
 x ×
107
100
 +
1
4
 x x = 0

    
        x≈-125.625030 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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