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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 （0.25*3.14*0.6*0.6*2/（2X））*145/（0.25*3.14*0.6*0.6*2）+0.8*(1-0.25*3.14*0.6*0.6*2/（2X）)*85 = 128.35 .
    Question type: Equation
    Solution:Original question:
     (
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X )) × 145 ÷ (
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2) +
4
5
(1 −
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X )) × 85 =
2567
20
     Multiply both sides of the equation by:(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)
     (
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X )) × 145 +
4
5
(1 −
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X )) × 85(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2) =
2567
20
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)
    Remove a bracket on the left of the equation:：
     
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X ) × 145 +
4
5
(1 −
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X )) × 85(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2) =
2567
20
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)
    Remove a bracket on the right of the equation:：
     
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X ) × 145 +
4
5
(1 −
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X )) × 85(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2) =
2567
20
 ×
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2
    The equation is reduced to :
     
40977
500
 ÷ (2 X ) + 68(1 −
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X ))(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2) =
3627171
50000
     Multiply both sides of the equation by:(2 X )
     
40977
500
 + 68(1 −
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X ))(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X ) =
3627171
50000
(2 X )
    Remove a bracket on the left of the equation:
     
40977
500
 + 68 × 1(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X ) − 68 ×
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X ) =
3627171
50000
(2 X )
    Remove a bracket on the right of the equation:：
     
40977
500
 + 68 × 1(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X ) − 68 ×
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2 ÷ (2 X ) =
3627171
50000
 × 2 X
    The equation is reduced to :
     
40977
500
 + 68(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X ) −
24021
625
 ÷ (2 X ) × (
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X ) =
3627171
25000
 X
     Multiply both sides of the equation by:(2 × 1)
     
40977
500
(2 × 1) + 68(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X )(2 × 1) −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
25000
 X (2 × 1)
    Remove a bracket on the left of the equation:
     
40977
500
 × 2 × 1 + 68(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X )(2 × 1) −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
25000
 X (2 × 1)
    Remove a bracket on the right of the equation:：
     
40977
500
 × 2 × 1 + 68(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X )(2 × 1) −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
25000
 X × 2 × 1
    The equation is reduced to :
     
40977
250
 + 68(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 X )(2 × 1) −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
12500
 X
    Remove a bracket on the left of the equation:
     
40977
250
 + 68 ×
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2(2 X )(2 × 1) −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
12500
 X
    The equation is reduced to :
     
40977
250
 +
24021
625
(2 X )(2 × 1) −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
12500
 X
    Remove a bracket on the left of the equation:
     
40977
250
 +
24021
625
 × 2 X (2 × 1) −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
12500
 X
    The equation is reduced to :
     
40977
250
 +
48042
625
 X (2 × 1) −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
12500
 X
    Remove a bracket on the left of the equation:
     
40977
250
 +
48042
625
 X × 2 × 1 −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
12500
 X
    The equation is reduced to :
     
40977
250
 +
96084
625
 X −
24021
625
(
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2)(2 × 1) =
3627171
12500
 X
    Remove a bracket on the left of the equation:
     
40977
250
 +
96084
625
 X −
24021
625
 ×
1
4
 ×
157
50
 ×
3
5
 ×
3
5
 × 2(2 × 1) =
3627171
12500
 X
    The equation is reduced to :
     
40977
250
 +
96084
625
 X −
33941673
1562500
(2 × 1) =
3627171
12500
 X
    Remove a bracket on the left of the equation:
     
40977
250
 +
96084
625
 X −
33941673
1562500
 × 2 × 1 =
3627171
12500
 X
    The equation is reduced to :
     
40977
250
 +
96084
625
 X −
33941673
781250
 =
3627171
12500
 X

    
        X≈0.882903 , 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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