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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(1-0.0404)(x-55.3)/(2x+55.3)+0.0404((x-20)/x+4(x-20)/(x+20)) = 0 .
    Question type: Equation
    Solution:Original question:
     9(1 −
101
2500
)( x −
553
10
) ÷ (2 x +
553
10
) +
101
2500
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20)) = 0
     Multiply both sides of the equation by:(2 x +
553
10
)
     9(1 −
101
2500
)( x −
553
10
) +
101
2500
(( 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 ×
101
2500
( x −
553
10
) +
101
2500
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9( x −
553
10
) −
909
2500
( x −
553
10
) +
101
2500
(( 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
 −
909
2500
( x −
553
10
) +
101
2500
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9 x −
4977
10
 −
909
2500
( x −
553
10
) +
101
2500
(( 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
 −
909
2500
 x +
909
2500
 ×
553
10
 +
101
2500
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     9 x −
4977
10
 −
909
2500
 x +
502677
25000
 +
101
2500
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    The equation is reduced to :
     
21591
2500
 x −
11939823
25000
 +
101
2500
(( x − 20) ÷ x + 4( x − 20) ÷ ( x + 20))(2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:
     
21591
2500
 x −
11939823
25000
 +
101
2500
( x − 20) ÷ x × (2 x +
553
10
) +
101
2500
 × 4( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
    The equation is reduced to :
     
21591
2500
 x −
11939823
25000
 +
101
2500
( x − 20) ÷ x × (2 x +
553
10
) +
101
625
( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
     Multiply both sides of the equation by: x
     
21591
2500
 x x −
11939823
25000
 x +
101
2500
( x − 20)(2 x +
553
10
) +
101
625
( x − 20) ÷ ( x + 20) × (2 x +
553
10
) = 0
    Remove a bracket on the left of the equation:
     
21591
2500
 x x −
11939823
25000
 x +
101
2500
 x (2 x +
553
10
) −
101
2500
 × 20(2 x +
553
10
) +
101
625
 = 0
    The equation is reduced to :
     
21591
2500
 x x −
11939823
25000
 x +
101
2500
 x (2 x +
553
10
) −
101
125
(2 x +
553
10
) +
101
625
( x − 20) = 0
     Multiply both sides of the equation by:( x + 20)
     
21591
2500
 x x ( x + 20) −
11939823
25000
 x ( x + 20) +
101
2500
 x (2 x +
553
10
)( x + 20) −
101
125
 = 0
    Remove a bracket on the left of the equation:
     
21591
2500
 x x x +
21591
2500
 x x × 20 −
11939823
25000
 x ( x + 20) +
101
2500
 = 0
    The equation is reduced to :
     
21591
2500
 x x x +
21591
125
 x x −
11939823
25000
 x ( x + 20) +
101
2500
 x = 0
    Remove a bracket on the left of the equation:
     
21591
2500
 x x x +
21591
125
 x x −
11939823
25000
 x x −
11939823
25000
 x = 0
    The equation is reduced to :
     
21591
2500
 x x x +
21591
125
 x x −
11939823
25000
 x x −
11939823
1250
 x = 0
    Remove a bracket on the left of the equation:
     
21591
2500
 x x x +
21591
125
 x x −
11939823
25000
 x x −
11939823
1250
 x = 0
    The equation is reduced to :
     
21591
2500
 x x x +
21591
125
 x x −
11939823
25000
 x x −
11939823
1250
 x = 0
    Remove a bracket on the left of the equation:
     
21591
2500
 x x x +
21591
125
 x x −
11939823
25000
 x x −
11939823
1250
 x = 0
    The equation is reduced to :
     
21591
2500
 x x x +
21591
125
 x x −
11939823
25000
 x x −
11939823
1250
 x = 0

    The solution of the equation:
        x1≈-20.149641 , keep 6 decimal places
        x2≈-0.091795 , keep 6 decimal places
        x3≈53.443321 , 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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