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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 (5.67x+100+5.67)*(1.5x+100)/(5.67x+100)/(1.5x+100+1.5) = 1.02475 .
    Question type: Equation
    Solution:Original question:
     (
567
100
 x + 100 +
567
100
)(
3
2
 x + 100) ÷ (
567
100
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) =
4099
4000
     Multiply both sides of the equation by:(
567
100
 x + 100)
     (
567
100
 x + 100 +
567
100
)(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) =
4099
4000
(
567
100
 x + 100)
    Remove a bracket on the left of the equation:：
     
567
100
 x (
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) + 100(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) +
567
100
(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) =
4099
4000
(
567
100
 x + 100)
    Remove a bracket on the right of the equation:：
     
567
100
 x (
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) + 100(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) +
567
100
(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) =
4099
4000
 ×
567
100
 x +
4099
4000
 × 100
    The equation is reduced to :
     
567
100
 x (
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) + 100(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) +
567
100
(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) =
2324133
400000
 x +
4099
40
     Multiply both sides of the equation by:(
3
2
 x + 100 +
3
2
)
     
567
100
 x (
3
2
 x + 100) + 100(
3
2
 x + 100) +
567
100
(
3
2
 x + 100) =
2324133
400000
 x (
3
2
 x + 100 +
3
2
) +
4099
40
(
3
2
 x + 100 +
3
2
)
    Remove a bracket on the left of the equation:
     
567
100
 x ×
3
2
 x +
567
100
 x × 100 + 100(
3
2
 x + 100) +
567
100
(
3
2
 x + 100) =
2324133
400000
 x (
3
2
 x + 100 +
3
2
) +
4099
40
(
3
2
 x + 100 +
3
2
)
    Remove a bracket on the right of the equation:：
     
567
100
 x ×
3
2
 x +
567
100
 x × 100 + 100(
3
2
 x + 100) +
567
100
(
3
2
 x + 100) =
2324133
400000
 x ×
3
2
 x +
2324133
400000
 x × 100 +
2324133
400000
 x ×
3
2
 +
4099
40
(
3
2
 x + 100 +
3
2
)
    The equation is reduced to :
     
1701
200
 x x + 567 x + 100(
3
2
 x + 100) +
567
100
(
3
2
 x + 100) =
6972399
800000
 x x +
2324133
4000
 x +
6972399
800000
 x +
4099
40
(
3
2
 x + 100 +
3
2
)

    The solution of the equation:
        x1≈-93.708107 , keep 6 decimal places
        x2≈-17.636684 , keep 6 decimal places
        x3≈8.404756 , 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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