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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 500 = X+40+((X+40)/(1-0.005))*0.005 .
    Question type: Equation
    Solution:Original question:
     500 = X + 40 + (( X + 40) ÷ (1 −
1
200
)) ×
1
200
    Remove a bracket on the right of the equation:：
     500 = X + 40 + ( X + 40) ÷ (1 −
1
200
) ×
1
200
     Multiply both sides of the equation by:(1 −
1
200
)
     500(1 −
1
200
) = X (1 −
1
200
) + 40(1 −
1
200
) + ( X + 40) ×
1
200
    Remove a bracket on the left of the equation:
     500 × 1 − 500 ×
1
200
 = X (1 −
1
200
) + 40(1 −
1
200
) + ( X + 40) ×
1
200
    Remove a bracket on the right of the equation:：
     500 × 1 − 500 ×
1
200
 = X × 1 − X ×
1
200
 + 40(1 −
1
200
) + ( X + 40) ×
1
200
    The equation is reduced to :
     500 −
5
2
 = X × 1 − X ×
1
200
 + 40(1 −
1
200
) + ( X + 40) ×
1
200
    The equation is reduced to :
     
995
2
 =
199
200
 X + 40(1 −
1
200
) + ( X + 40) ×
1
200
    Remove a bracket on the right of the equation:：
     
995
2
 =
199
200
 X + 40 × 1 − 40 ×
1
200
 + ( X + 40) ×
1
200
    The equation is reduced to :
     
995
2
 =
199
200
 X + 40 −
1
5
 + ( X + 40) ×
1
200
    The equation is reduced to :
     
995
2
 =
199
200
 X +
199
5
 + ( X + 40) ×
1
200
    Remove a bracket on the right of the equation:：
     
995
2
 =
199
200
 X +
199
5
 + X ×
1
200
 + 40 ×
1
200
    The equation is reduced to :
     
995
2
 =
199
200
 X +
199
5
 + X ×
1
200
 +
1
5
    The equation is reduced to :
     
995
2
 = 1 X + 40

    Transposition :
      - 1 X = 40 −
995
2
    i.e.
      - X = 40 −
995
2

    Combine the items on the right of the equation:
      - X = -
915
2

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
915
2
 = X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
      X =
915
2
    This is the solution of the equation.
    This is the solution of the equation.



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