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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)*100 = 1.75 .
    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
) − 1) × 100 =
7
4
    Remove a bracket on the left of the equation:：
     (
567
100
 x + 100 +
567
100
)(
3
2
 x + 100) ÷ (
567
100
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100 − 1 × 100 =
7
4
    The equation is reduced to :
     (
567
100
 x + 100 +
567
100
)(
3
2
 x + 100) ÷ (
567
100
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100 − 100 =
7
4
     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
) × 100 − 100(
567
100
 x + 100) =
7
4
(
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 + 100(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100 +
567
100
(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) =
7
4
(
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 + 100(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100 +
567
100
(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) =
7
4
 ×
567
100
 x +
7
4
 × 100
    The equation is reduced to :
     567 x (
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) + 10000(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) + 567(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) − 100(
567
100
 x + 100) =
3969
400
 x + 175
     Multiply both sides of the equation by:(
3
2
 x + 100 +
3
2
)
     567 x (
3
2
 x + 100) + 10000(
3
2
 x + 100) + 567(
3
2
 x + 100) − 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) =
3969
400
 x (
3
2
 x + 100 +
3
2
) + 175(
3
2
 x + 100 +
3
2
)
    Remove a bracket on the left of the equation:
     567 x ×
3
2
 x + 567 x × 100 + 10000(
3
2
 x + 100) + 567(
3
2
 x + 100) − 100 =
3969
400
 x (
3
2
 x + 100 +
3
2
) + 175(
3
2
 x + 100 +
3
2
)
    Remove a bracket on the right of the equation:：
     567 x ×
3
2
 x + 567 x × 100 + 10000(
3
2
 x + 100) + 567(
3
2
 x + 100) − 100 =
3969
400
 x ×
3
2
 x +
3969
400
 x × 100 +
3969
400
 x ×
3
2
 + 175(
3
2
 x + 100 +
3
2
)
    The equation is reduced to :
     
1701
2
 x x + 56700 x + 10000(
3
2
 x + 100) + 567(
3
2
 x + 100) − 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) =
11907
800
 x x +
3969
4
 x +
11907
800
 x + 175(
3
2
 x + 100 +
3
2
)
    The equation is reduced to :
     
1701
2
 x x + 56700 x + 10000(
3
2
 x + 100) + 567(
3
2
 x + 100) − 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) =
11907
800
 x x +
805707
800
 x + 175(
3
2
 x + 100 +
3
2
)
    Remove a bracket on the left of the equation:
     
1701
2
 x x + 56700 x + 10000 ×
3
2
 x + 10000 × 100 + 567(
3
2
 x + 100) =
11907
800
 x x +
805707
800
 x + 175(
3
2
 x + 100 +
3
2
)
    Remove a bracket on the right of the equation:：
     
1701
2
 x x + 56700 x + 10000 ×
3
2
 x + 10000 × 100 + 567(
3
2
 x + 100) =
11907
800
 x x +
805707
800
 x + 175 ×
3
2
 x + 175 × 100 + 175 ×
3
2
    The equation is reduced to :
     
1701
2
 x x + 56700 x + 15000 x + 1000000 + 567(
3
2
 x + 100) − 100(
567
100
 x + 100) =
11907
800
 x x +
805707
800
 x +
525
2
 x + 17500 +
525
2
    The equation is reduced to :
     
1701
2
 x x + 71700 x + 1000000 + 567(
3
2
 x + 100) − 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) =
11907
800
 x x +
1015707
800
 x +
35525
2
    Remove a bracket on the left of the equation:
     
1701
2
 x x + 71700 x + 1000000 + 567 ×
3
2
 x + 567 × 100 − 100 =
11907
800
 x x +
1015707
800
 x +
35525
2
    The equation is reduced to :
     
1701
2
 x x + 71700 x + 1000000 +
1701
2
 x + 56700 − 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) =
11907
800
 x x +
1015707
800
 x +
35525
2
    The equation is reduced to :
     
1701
2
 x x +
145101
2
 x + 1056700 − 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) =
11907
800
 x x +
1015707
800
 x +
35525
2
    Remove a bracket on the left of the equation:
     
1701
2
 x x +
145101
2
 x + 1056700 − 100 ×
567
100
 x (
3
2
 x + 100 +
3
2
) − 100 × 100 =
11907
800
 x x +
1015707
800
 x +
35525
2
    The equation is reduced to :
     
1701
2
 x x +
145101
2
 x + 1056700 − 567 x (
3
2
 x + 100 +
3
2
) − 10000(
3
2
 x + 100 +
3
2
) =
11907
800
 x x +
1015707
800
 x +
35525
2
    Remove a bracket on the left of the equation:
     
1701
2
 x x +
145101
2
 x + 1056700 − 567 x ×
3
2
 x − 567 x =
11907
800
 x x +
1015707
800
 x +
35525
2
    The equation is reduced to :
     
1701
2
 x x +
145101
2
 x + 1056700 −
1701
2
 x x − 56700 x −
1701
2
 =
11907
800
 x x +
1015707
800
 x +
35525
2
    The equation is reduced to :
     
1701
2
 x x + 15000 x + 1056700 −
1701
2
 x x − 10000(
3
2
 x + 100 +
3
2
) =
11907
800
 x x +
1015707
800
 x +
35525
2

    The solution of the equation:
        x1≈-101.196215 , keep 6 decimal places
        x2≈-17.636684 , keep 6 decimal places
        x3≈15.892864 , 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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