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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 9(1-0.0432)(x-55.3)/(2x+55.3)+0.0432((x-20)/x+4(x-20)/(x+20)) = 0 .
    Question type: Equation
    Solution:Original question:
     9(1 −
27
625
)( x −
553
10
) ÷ (2 x +
553
10
) +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20)) = 0
     Multiply both sides of the equation by:(2 x +
553
10
)
     9(1 −
27
625
)( x −
553
10
) +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:：
     9 × 1( x −
553
10
) − 9 ×
27
625
( x −
553
10
) +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9( x −
553
10
) −
243
625
( x −
553
10
) +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:
     9 x − 9 ×
553
10
 −
243
625
( x −
553
10
) +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9 x −
4977
10
 −
243
625
( x −
553
10
) +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:
     9 x −
4977
10
 −
243
625
 x +
243
625
 ×
553
10
 +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9 x −
4977
10
 −
243
625
 x +
134379
6250
 +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     
5382
625
 x −
1488123
3125
 +
27
625
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:
     
5382
625
 x −
1488123
3125
 +
27
625
( x − 20) ÷ x × (2 x +
553
10
) +
27
625
 × 4( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
    The equation is reduced to :
     
5382
625
 x −
1488123
3125
 +
27
625
( x − 20) ÷ x × (2 x +
553
10
) +
108
625
( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
     Multiply both sides of the equation by: x
     
5382
625
 x x −
1488123
3125
 x +
27
625
( x − 20)(2 x +
553
10
) +
108
625
( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:
     
5382
625
 x x −
1488123
3125
 x +
27
625
 x (2 x +
553
10
) −
27
625
 × 20(2 x +
553
10
) +
108
625
 = 0
    The equation is reduced to :
     
5382
625
 x x −
1488123
3125
 x +
27
625
 x (2 x +
553
10
) −
108
125
(2 x +
553
10
) +
108
625
( x − 20) = 0
     Multiply both sides of the equation by:( x + 20)
     
5382
625
 x x ( x + 20) −
1488123
3125
 x ( x + 20) +
27
625
 x (2 x +
553
10
)( x + 20) −
108
125
 = 0
    Remove a bracket on the left of the equation:
     
5382
625
 x x x +
5382
625
 x x × 20 −
1488123
3125
 x ( x + 20) +
27
625
 = 0
    The equation is reduced to :
     
5382
625
 x x x +
21528
125
 x x −
1488123
3125
 x ( x + 20) +
27
625
 x = 0
    Remove a bracket on the left of the equation:
     
5382
625
 x x x +
21528
125
 x x −
1488123
3125
 x x −
1488123
3125
 x = 0
    The equation is reduced to :
     
5382
625
 x x x +
21528
125
 x x −
1488123
3125
 x x −
5952492
625
 x = 0
    Remove a bracket on the left of the equation:
     
5382
625
 x x x +
21528
125
 x x −
1488123
3125
 x x −
5952492
625
 x = 0
    The equation is reduced to :
     
5382
625
 x x x +
21528
125
 x x −
1488123
3125
 x x −
5952492
625
 x = 0
    Remove a bracket on the left of the equation:
     
5382
625
 x x x +
21528
125
 x x −
1488123
3125
 x x −
5952492
625
 x = 0
    The equation is reduced to :
     
5382
625
 x x x +
21528
125
 x x −
1488123
3125
 x x −
5952492
625
 x = 0

    The solution of the equation:
        x1≈-20.160293 , keep 6 decimal places
        x2≈-0.098309 , keep 6 decimal places
        x3≈53.315768 , 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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