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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.
    It supports equations that contain mathematical functions.
    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 0.85*x+(1.425*x-17.5)*(100-x)/(2.8625*x+26.25) = 75 .
    Question type: Equation
    Solution:Original question:
     
17
20
 x + (
57
40
 x −
35
2
)(100 − x ) ÷ (
229
80
 x +
105
4
) = 75
     Multiply both sides of the equation by:(
229
80
 x +
105
4
)
     
17
20
 x (
229
80
 x +
105
4
) + (
57
40
 x −
35
2
)(100 − x ) = 75(
229
80
 x +
105
4
)
    Remove a bracket on the left of the equation:：
     
17
20
 x ×
229
80
 x +
17
20
 x ×
105
4
 + (
57
40
 x −
35
2
)(100 − x ) = 75(
229
80
 x +
105
4
)
    Remove a bracket on the right of the equation:：
     
17
20
 x ×
229
80
 x +
17
20
 x ×
105
4
 + (
57
40
 x −
35
2
)(100 − x ) = 75 ×
229
80
 x + 75 ×
105
4
    The equation is reduced to :
     
3893
1600
 x x +
357
16
 x + (
57
40
 x −
35
2
)(100 − x ) =
3435
16
 x +
7875
4
    Remove a bracket on the left of the equation:
     
3893
1600
 x x +
357
16
 x +
57
40
 x (100 − x ) −
35
2
(100 − x ) =
3435
16
 x +
7875
4
    Remove a bracket on the left of the equation:
     
3893
1600
 x x +
357
16
 x +
57
40
 x × 100 −
57
40
 x x −
35
2
 =
3435
16
 x +
7875
4
    The equation is reduced to :
     
3893
1600
 x x +
357
16
 x +
285
2
 x −
57
40
 x x −
35
2
(100 − x ) =
3435
16
 x +
7875
4
    The equation is reduced to :
     
3893
1600
 x x +
2637
16
 x −
57
40
 x x −
35
2
(100 − x ) =
3435
16
 x +
7875
4
    Remove a bracket on the left of the equation:
     
3893
1600
 x x +
2637
16
 x −
57
40
 x x −
35
2
 × 100 +
35
2
 x =
3435
16
 x +
7875
4
    The equation is reduced to :
     
3893
1600
 x x +
2637
16
 x −
57
40
 x x − 1750 +
35
2
 x =
3435
16
 x +
7875
4
    The equation is reduced to :
     
3893
1600
 x x +
2917
16
 x −
57
40
 x x − 1750 =
3435
16
 x +
7875
4

    The solution of the equation:
        x1≈-46.764991 , keep 6 decimal places
        x2≈-9.170306 , keep 6 decimal places
        x3≈78.879064 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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