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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 ((5.67x+100+5.67)*(1.5x+100)/(5.67x+100)/(1.5x+100+1.5)-1)*100 = ((300/7+x-8.4+1)/(300/7+x-8.4)-1)*100 .
    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 = ((300 ÷ 7 + x −
42
5
 + 1) ÷ (300 ÷ 7 + x −
42
5
) − 1) × 100
    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 = ((300 ÷ 7 + x −
42
5
 + 1) ÷ (300 ÷ 7 + x −
42
5
) − 1) × 100
    Remove a bracket on the right 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 = (300 ÷ 7 + x −
42
5
 + 1) ÷ (300 ÷ 7 + x −
42
5
) × 100 − 1 × 100
    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 = (300 ÷ 7 + x −
42
5
 + 1) ÷ (300 ÷ 7 + x −
42
5
) × 100 − 100
     Multiply both sides of the equation by:(
567
100
 x + 100) ,  (300 ÷ 7 + x −
42
5
)
     (
567
100
 x + 100 +
567
100
)(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100(300 ÷ 7 + x −
42
5
) − 100(
567
100
 x + 100)(300 ÷ 7 + x −
42
5
) = (300 ÷ 7 + x −
42
5
 + 1) × 100(
567
100
 x + 100) − 100(
567
100
 x + 100)(300 ÷ 7 + x −
42
5
)
    Remove a bracket on the left of the equation:
     
567
100
 x (
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100(300 ÷ 7 + x −
42
5
) + 100(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100(300 ÷ 7 + x −
42
5
) +
567
100
 = (300 ÷ 7 + x −
42
5
 + 1) × 100(
567
100
 x + 100) − 100(
567
100
 x + 100)(300 ÷ 7 + x −
42
5
)
    Remove a bracket on the right of the equation:：
     
567
100
 x (
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100(300 ÷ 7 + x −
42
5
) + 100(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × 100(300 ÷ 7 + x −
42
5
) +
567
100
 = 300 ÷ 7 × 100(
567
100
 x + 100) + x × 100(
567
100
 x + 100) −
42
5
 × 100(
567
100
 x + 100) + 1 × 100
    The equation is reduced to :
     567 x (
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × (300 ÷ 7 + x −
42
5
) + 10000(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) × (300 ÷ 7 + x −
42
5
) + 567(
3
2
 x + 100) ÷ (
3
2
 x + 100 +
3
2
) =
30000
7
(
567
100
 x + 100) + x × 100(
567
100
 x + 100) − 840(
567
100
 x + 100) + 100(
567
100
 x + 100) − 100(
567
100
 x + 100)(300 ÷ 7 + x −
42
5
)
     Multiply both sides of the equation by:(
3
2
 x + 100 +
3
2
)
     567 x (
3
2
 x + 100)(300 ÷ 7 + x −
42
5
) + 10000(
3
2
 x + 100)(300 ÷ 7 + x −
42
5
) + 567(
3
2
 x + 100)(300 ÷ 7 + x −
42
5
) − 100(
567
100
 x + 100) =
30000
7
(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) + 100(
567
100
 x + 100)
    Remove a bracket on the left of the equation:
     567 x ×
3
2
 x (300 ÷ 7 + x −
42
5
) + 567 x × 100(300 ÷ 7 + x −
42
5
) + 10000(
3
2
 x + 100)(300 ÷ 7 + x −
42
5
) =
30000
7
(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) + 100(
567
100
 x + 100)
    Remove a bracket on the right of the equation:：
     567 x ×
3
2
 x (300 ÷ 7 + x −
42
5
) + 567 x × 100(300 ÷ 7 + x −
42
5
) + 10000(
3
2
 x + 100)(300 ÷ 7 + x −
42
5
) =
30000
7
 ×
567
100
 x (
3
2
 x + 100 +
3
2
) +
30000
7
 × 100(
3
2
 x + 100 +
3
2
) + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840
    The equation is reduced to :
     
1701
2
 x x (300 ÷ 7 + x −
42
5
) + 56700 x (300 ÷ 7 + x −
42
5
) + 10000(
3
2
 x + 100)(300 ÷ 7 + x −
42
5
) + 567(
3
2
 x + 100) = 24300 x (
3
2
 x + 100 +
3
2
) +
3000000
7
(
3
2
 x + 100 +
3
2
) + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
)
    Remove a bracket on the left of the equation:
     
1701
2
 x x × 300 ÷ 7 +
1701
2
 x x x −
1701
2
 x x = 24300 x (
3
2
 x + 100 +
3
2
) +
3000000
7
(
3
2
 x + 100 +
3
2
) + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
)
    Remove a bracket on the right of the equation:：
     
1701
2
 x x × 300 ÷ 7 +
1701
2
 x x x −
1701
2
 x x = 24300 x ×
3
2
 x + 24300 x × 100 + 24300 x ×
3
2
 +
3000000
7
(
3
2
 x + 100 +
3
2
)
    The equation is reduced to :
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 56700 x = 36450 x x + 2430000 x + 36450 x +
3000000
7
(
3
2
 x + 100 +
3
2
) + x × 100(
567
100
 x + 100)
    The equation is reduced to :
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 56700 x = 36450 x x + 2466450 x +
3000000
7
(
3
2
 x + 100 +
3
2
) + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840
    Remove a bracket on the left of the equation:
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 56700 x = 36450 x x + 2466450 x +
3000000
7
(
3
2
 x + 100 +
3
2
) + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840
    Remove a bracket on the right of the equation:：
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 56700 x = 36450 x x + 2466450 x +
3000000
7
 ×
3
2
 x +
3000000
7
 × 100 +
3000000
7
 ×
3
2
    The equation is reduced to :
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 2430000 x = 36450 x x + 2466450 x +
4500000
7
 x +
300000000
7
 +
4500000
7
 + x × 100(
567
100
 x + 100)
    The equation is reduced to :
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 1953720 x = 36450 x x +
21765150
7
 x + 43500000 + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840(
567
100
 x + 100)
    Remove a bracket on the left of the equation:
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 1953720 x = 36450 x x +
21765150
7
 x + 43500000 + x × 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) − 840(
567
100
 x + 100)
    Remove a bracket on the right of the equation:：
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 1953720 x = 36450 x x +
21765150
7
 x + 43500000 + x × 100 ×
567
100
 x (
3
2
 x + 100 +
3
2
) + x
    The equation is reduced to :
     36450 x x +
1701
2
 x x x −
35721
5
 x x + 1953720 x = 36450 x x +
21765150
7
 x + 43500000 + x × 567 x (
3
2
 x + 100 +
3
2
) + x × 10000

    The solution of the equation:
        x1≈-46.858745 , keep 6 decimal places
        x2≈-34.457143 , keep 6 decimal places
        x3≈-17.636684 , keep 6 decimal places
        x4≈10.585377 , keep 6 decimal places    
    There are 4 solution(s).

解程的详细方法请参阅：《方程的解法》


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