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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 = 2.475 .
    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 =
99
40
    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 =
99
40
    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 =
99
40
     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) =
99
40
(
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
) =
99
40
(
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
) =
99
40
 ×
567
100
 x +
99
40
 × 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) =
56133
4000
 x +
495
2
     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
) =
56133
4000
 x (
3
2
 x + 100 +
3
2
) +
495
2
(
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 =
56133
4000
 x (
3
2
 x + 100 +
3
2
) +
495
2
(
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 =
56133
4000
 x ×
3
2
 x +
56133
4000
 x × 100 +
56133
4000
 x ×
3
2
 +
495
2
(
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
) =
168399
8000
 x x +
56133
40
 x +
168399
8000
 x +
495
2
(
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
) =
168399
8000
 x x +
11394999
8000
 x +
495
2
(
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) =
168399
8000
 x x +
11394999
8000
 x +
495
2
(
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) =
168399
8000
 x x +
11394999
8000
 x +
495
2
 ×
3
2
 x +
495
2
 × 100 +
495
2
 ×
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) =
168399
8000
 x x +
11394999
8000
 x +
1485
4
 x + 24750 +
1485
4
    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
) =
168399
8000
 x x +
14364999
8000
 x +
100485
4
    Remove a bracket on the left of the equation:
     
1701
2
 x x + 71700 x + 1000000 + 567 ×
3
2
 x + 567 × 100 − 100 =
168399
8000
 x x +
14364999
8000
 x +
100485
4
    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
) =
168399
8000
 x x +
14364999
8000
 x +
100485
4
    The equation is reduced to :
     
1701
2
 x x +
145101
2
 x + 1056700 − 100(
567
100
 x + 100)(
3
2
 x + 100 +
3
2
) =
168399
8000
 x x +
14364999
8000
 x +
100485
4
    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 =
168399
8000
 x x +
14364999
8000
 x +
100485
4
    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
) =
168399
8000
 x x +
14364999
8000
 x +
100485
4
    Remove a bracket on the left of the equation:
     
1701
2
 x x +
145101
2
 x + 1056700 − 567 x ×
3
2
 x − 567 x =
168399
8000
 x x +
14364999
8000
 x +
100485
4
    The equation is reduced to :
     
1701
2
 x x +
145101
2
 x + 1056700 −
1701
2
 x x − 56700 x −
1701
2
 =
168399
8000
 x x +
14364999
8000
 x +
100485
4
    The equation is reduced to :
     
1701
2
 x x + 15000 x + 1056700 −
1701
2
 x x − 10000(
3
2
 x + 100 +
3
2
) =
168399
8000
 x x +
14364999
8000
 x +
100485
4

    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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