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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 ((-5x/4)+(25/4))/8 = ((-50x+250)/(-5x+57))/(10-2x) .
    Question type: Equation
    Solution:Original question:
     (( - 5 x ÷ 4) + (25 ÷ 4)) ÷ 8 = (( - 50 x + 250) ÷ ( - 5 x + 57)) ÷ (10 − 2 x )
     Multiply both sides of the equation by:(10 − 2 x )
     (( - 5 x ÷ 4) + (25 ÷ 4)) ÷ 8 × (10 − 2 x ) = (( - 50 x + 250) ÷ ( - 5 x + 57))
    Remove a bracket on the left of the equation:：
     ( - 5 x ÷ 4) ÷ 8 × (10 − 2 x ) + (25 ÷ 4) ÷ 8 × (10 − 2 x ) = (( - 50 x + 250) ÷ ( - 5 x + 57))
    Remove a bracket on the right of the equation:：
     ( - 5 x ÷ 4) ÷ 8 × (10 − 2 x ) + (25 ÷ 4) ÷ 8 × (10 − 2 x ) = ( - 50 x + 250) ÷ ( - 5 x + 57)
     Multiply both sides of the equation by:( - 5 x + 57)
     ( - 5 x ÷ 4) ×
1
8
(10 − 2 x )( - 5 x + 57) + (25 ÷ 4) ×
1
8
(10 − 2 x )( - 5 x + 57) = ( - 50 x + 250)
    Remove a bracket on the left of the equation:
      - 5 x ÷ 4 ×
1
8
(10 − 2 x )( - 5 x + 57) + (25 ÷ 4) ×
1
8
(10 − 2 x )( - 5 x + 57) = ( - 50 x + 250)
    Remove a bracket on the right of the equation:：
      - 5 x ÷ 4 ×
1
8
(10 − 2 x )( - 5 x + 57) + (25 ÷ 4) ×
1
8
(10 − 2 x )( - 5 x + 57) = - 50 x + 250
    The equation is reduced to :
      -
5
32
 x (10 − 2 x )( - 5 x + 57) + (25 ÷ 4) ×
1
8
(10 − 2 x )( - 5 x + 57) = - 50 x + 250
    Remove a bracket on the left of the equation:
      -
5
32
 x × 10( - 5 x + 57) +
5
32
 x × 2 x ( - 5 x + 57) + (25 ÷ 4) ×
1
8
(10 − 2 x ) = - 50 x + 250
    The equation is reduced to :
      -
25
16
 x ( - 5 x + 57) +
5
16
 x x ( - 5 x + 57) + (25 ÷ 4) ×
1
8
(10 − 2 x )( - 5 x + 57) = - 50 x + 250
    Remove a bracket on the left of the equation:
     
25
16
 x × 5 x −
25
16
 x × 57 +
5
16
 x x ( - 5 x + 57) + (25 ÷ 4) = - 50 x + 250
    The equation is reduced to :
     
125
16
 x x −
1425
16
 x +
5
16
 x x ( - 5 x + 57) + (25 ÷ 4) ×
1
8
(10 − 2 x ) = - 50 x + 250
    Remove a bracket on the left of the equation:
     
125
16
 x x −
1425
16
 x −
5
16
 x x × 5 x +
5
16
 x = - 50 x + 250
    The equation is reduced to :
     
125
16
 x x −
1425
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    Remove a bracket on the left of the equation:
     
125
16
 x x −
1425
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    The equation is reduced to :
     
125
16
 x x −
1425
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    Remove a bracket on the left of the equation:
     
125
16
 x x −
1425
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    The equation is reduced to :
     
125
16
 x x −
1425
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    Remove a bracket on the left of the equation:
     
125
16
 x x −
1425
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    The equation is reduced to :
     
125
16
 x x −
1425
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    The equation is reduced to :
     
125
16
 x x −
1025
8
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    Remove a bracket on the left of the equation:
     
125
16
 x x −
1025
8
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    The equation is reduced to :
     
125
16
 x x −
1025
8
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    The equation is reduced to :
     
125
16
 x x −
3475
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    The equation can be reduced to :
     
125
16
 x x −
3475
16
 x −
25
16
 x x x +
285
16
 x x = - 50 x + 250
    
    There are 0 solution(s).

解程的详细方法请参阅：《方程的解法》


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