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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 (X-200-300)*(1-25%)-55 = (X-200)*(1-25%)-55 .
    Question type: Equation
    Solution:Original question:
     ( X − 200 − 300)(1 −
25
100
) − 55 = ( X − 200)(1 −
25
100
) − 55
    Remove the bracket on the left of the equation:
     Left side of the equation = X (1 −
25
100
) − 200(1 −
25
100
) − 300(1 −
25
100
) − 55
                                             = X × 1 − X ×
25
100
− 200(1 −
25
100
) − 300(1 −
25
100
) − 55
                                             =
3
4
X − 200(1 −
25
100
) − 300(1 −
25
100
) − 55
                                             =
3
4
X − 200 × 1 + 200 ×
25
100
− 300(1 −
25
100
) − 55
                                             =
3
4
X − 200 + 50 − 300(1 −
25
100
) − 55
                                             =
3
4
X − 205 − 300(1 −
25
100
)
                                             =
3
4
X − 205 − 300 × 1 + 300 ×
25
100
                                             =
3
4
X − 205 − 300 + 75
                                             =
3
4
X − 430
    The equation is transformed into :
     
3
4
X − 430 = ( X − 200)(1 −
25
100
) − 55
    Remove the bracket on the right of the equation:
     Right side of the equation = X (1 −
25
100
) − 200(1 −
25
100
) − 55
                                               = X × 1 − X ×
25
100
− 200(1 −
25
100
) − 55
                                               =
3
4
X − 200(1 −
25
100
) − 55
                                               =
3
4
X − 200 × 1 + 200 ×
25
100
− 55
                                               =
3
4
X − 200 + 50 − 55
                                               =
3
4
X − 205
    The equation is transformed into :
     
3
4
X − 430 =
3
4
X − 205

    Transposition :
     
3
4
X −
3
4
X = - 205 + 430

    Combine the items on the left of the equation:
      0 X = - 205 + 430

    Combine the items on the right of the equation:
      0 X = 225

    Error: This Equation has no solution!!



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