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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 (x/(x+107.8)-2.5)/(x/(x+138.5)-2.5) = 6.2/4.8 .
    Question type: Equation
    Solution:Original question:
     ( x ÷ ( x +
539
5
) −
5
2
) ÷ ( x ÷ ( x +
277
2
) −
5
2
) =
31
5
 ÷
24
5
     Multiply both sides of the equation by:( x ÷ ( x +
277
2
) −
5
2
)
     ( x ÷ ( x +
539
5
) −
5
2
) =
31
5
 ÷
24
5
 × ( x ÷ ( x +
277
2
) −
5
2
)
    Remove a bracket on the left of the equation:：
      x ÷ ( x +
539
5
) −
5
2
 =
31
5
 ÷
24
5
 × ( x ÷ ( x +
277
2
) −
5
2
)
    Remove a bracket on the right of the equation:：
      x ÷ ( x +
539
5
) −
5
2
 =
31
5
 ÷
24
5
 × x ÷ ( x +
277
2
) −
31
5
 ÷
24
5
 ×
5
2
    The equation is reduced to :
      x ÷ ( x +
539
5
) −
5
2
 =
31
24
 x ÷ ( x +
277
2
) −
155
48
     Multiply both sides of the equation by:( x +
539
5
) ,  ( x +
277
2
)
      x ( x +
277
2
) −
5
2
( x +
539
5
)( x +
277
2
) =
31
24
 x ( x +
539
5
) −
155
48
( x +
539
5
)( x +
277
2
)
    Remove a bracket on the left of the equation:
      x x + x ×
277
2
 −
5
2
( x +
539
5
)( x +
277
2
) =
31
24
 x ( x +
539
5
) −
155
48
( x +
539
5
)( x +
277
2
)
    Remove a bracket on the right of the equation:：
      x x + x ×
277
2
 −
5
2
( x +
539
5
)( x +
277
2
) =
31
24
 x x +
31
24
 x ×
539
5
 −
155
48
( x +
539
5
)( x +
277
2
)
    The equation is reduced to :
      x x + x ×
277
2
 −
5
2
( x +
539
5
)( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
( x +
539
5
)( x +
277
2
)
    Remove a bracket on the left of the equation:
      x x +
277
2
 x −
5
2
 x ( x +
277
2
) −
5
2
 ×
539
5
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
( x +
539
5
)( x +
277
2
)
    Remove a bracket on the right of the equation:：
      x x +
277
2
 x −
5
2
 x ( x +
277
2
) −
5
2
 ×
539
5
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x ( x +
277
2
) −
155
48
 ×
539
5
( x +
277
2
)
    The equation is reduced to :
      x x +
277
2
 x −
5
2
 x ( x +
277
2
) −
539
2
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x ( x +
277
2
) −
16709
48
( x +
277
2
)
    Remove a bracket on the left of the equation:
      x x +
277
2
 x −
5
2
 x x −
5
2
 x ×
277
2
 −
539
2
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x ( x +
277
2
) −
16709
48
( x +
277
2
)
    Remove a bracket on the right of the equation:：
      x x +
277
2
 x −
5
2
 x x −
5
2
 x ×
277
2
 −
539
2
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x x −
155
48
 x ×
277
2
 −
16709
48
    The equation is reduced to :
      x x +
277
2
 x −
5
2
 x x −
1385
4
 x −
539
2
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x x −
42935
96
 x −
16709
48
( x +
277
2
)
    The equation is reduced to :
      x x −
831
4
 x −
5
2
 x x −
539
2
( x +
277
2
) =
31
24
 x x −
147839
480
 x −
155
48
 x x −
16709
48
( x +
277
2
)
    Remove a bracket on the left of the equation:
      x x −
831
4
 x −
5
2
 x x −
539
2
 x −
539
2
 ×
277
2
 =
31
24
 x x −
147839
480
 x −
155
48
 x x −
16709
48
( x +
277
2
)
    Remove a bracket on the right of the equation:：
      x x −
831
4
 x −
5
2
 x x −
539
2
 x −
539
2
 ×
277
2
 =
31
24
 x x −
147839
480
 x −
155
48
 x x −
16709
48
 x −
16709
48
 ×
277
2
    The equation is reduced to :
      x x −
831
4
 x −
5
2
 x x −
539
2
 x −
149303
4
 =
31
24
 x x −
147839
480
 x −
155
48
 x x −
16709
48
 x −
4628393
96
    The equation is reduced to :
      x x −
1909
4
 x −
5
2
 x x −
149303
4
 =
31
24
 x x −
314929
480
 x −
155
48
 x x −
4628393
96

    the solutions is:
        x≈-74.415843 , keep 6 decimal places    
    There are 1 solution(s).

解方程的详细方法请参阅：《方程的解法》


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