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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(1-0.0447)(x-55.3)/(2x+55.3)+0.0447((x-20)/x+4(x-20)/(x+20)) = 0 .
    Question type: Equation
    Solution:Original question:
     9(1 −
447
10000
)( x −
553
10
) ÷ (2 x +
553
10
) +
447
10000
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20)) = 0
     Multiply both sides of the equation by:(2 x +
553
10
)
     9(1 −
447
10000
)( x −
553
10
) +
447
10000
(( 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 ×
447
10000
( x −
553
10
) +
447
10000
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9( x −
553
10
) −
4023
10000
( x −
553
10
) +
447
10000
(( 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
 −
4023
10000
( x −
553
10
) +
447
10000
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9 x −
4977
10
 −
4023
10000
( x −
553
10
) +
447
10000
(( 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
 −
4023
10000
 x +
4023
10000
 ×
553
10
 +
447
10000
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9 x −
4977
10
 −
4023
10000
 x +
2224719
100000
 +
447
10000
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     
85977
10000
 x −
47545281
100000
 +
447
10000
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:
     
85977
10000
 x −
47545281
100000
 +
447
10000
( x − 20) ÷ x × (2 x +
553
10
) +
447
10000
 × 4( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
    The equation is reduced to :
     
85977
10000
 x −
47545281
100000
 +
447
10000
( x − 20) ÷ x × (2 x +
553
10
) +
447
2500
( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
     Multiply both sides of the equation by: x
     
85977
10000
 x x −
47545281
100000
 x +
447
10000
( x − 20)(2 x +
553
10
) +
447
2500
( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:
     
85977
10000
 x x −
47545281
100000
 x +
447
10000
 x (2 x +
553
10
) −
447
10000
 × 20(2 x +
553
10
) +
447
2500
 = 0
    The equation is reduced to :
     
85977
10000
 x x −
47545281
100000
 x +
447
10000
 x (2 x +
553
10
) −
447
500
(2 x +
553
10
) +
447
2500
( x − 20) = 0
     Multiply both sides of the equation by:( x + 20)
     
85977
10000
 x x ( x + 20) −
47545281
100000
 x ( x + 20) +
447
10000
 x (2 x +
553
10
)( x + 20) −
447
500
 = 0
    Remove a bracket on the left of the equation:
     
85977
10000
 x x x +
85977
10000
 x x × 20 −
47545281
100000
 x ( x + 20) +
447
10000
 = 0
    The equation is reduced to :
     
85977
10000
 x x x +
85977
500
 x x −
47545281
100000
 x ( x + 20) +
447
10000
 x = 0
    Remove a bracket on the left of the equation:
     
85977
10000
 x x x +
85977
500
 x x −
47545281
100000
 x x −
47545281
100000
 x = 0
    The equation is reduced to :
     
85977
10000
 x x x +
85977
500
 x x −
47545281
100000
 x x −
47545281
5000
 x = 0
    Remove a bracket on the left of the equation:
     
85977
10000
 x x x +
85977
500
 x x −
47545281
100000
 x x −
47545281
5000
 x = 0
    The equation is reduced to :
     
85977
10000
 x x x +
85977
500
 x x −
47545281
100000
 x x −
47545281
5000
 x = 0
    Remove a bracket on the left of the equation:
     
85977
10000
 x x x +
85977
500
 x x −
47545281
100000
 x x −
47545281
5000
 x = 0
    The equation is reduced to :
     
85977
10000
 x x x +
85977
500
 x x −
47545281
100000
 x x −
47545281
5000
 x = 0

    The solution of the equation:
        x1≈-20.166015 , keep 6 decimal places
        x2≈-0.101807 , keep 6 decimal places
        x3≈53.247497 , 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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