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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-(1/2x-600)-{(1/2x-600)/2+800}-480 = 0 .
    Question type: Equation
    Solution:Original question:
      X − (1 ÷ 2 × X − 600) − ((1 ÷ 2 × X − 600) ÷ 2 + 800) − 480 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = X − 1 ÷ 2 × X + 600 − ((1 ÷ 2 × X − 600) ÷ 2 + 800) − 480
                                             = X −
1
2
X + 600 − ((1 ÷ 2 × X − 600) ÷ 2 + 800) − 480
                                             =
1
2
X + 120 − ((1 ÷ 2 × X − 600) ÷ 2 + 800)
                                             =
1
2
X + 120 − (1 ÷ 2 × X − 600) ÷ 2 − 800
                                             =
1
2
X − 680 − (1 ÷ 2 × X − 600) ×
1
2
                                             =
1
2
X − 680 − 1 ÷ 2 × X ×
1
2
+ 600 ×
1
2
                                             =
1
2
X − 680 −
1
4
X + 300
                                             =
1
4
X − 380
    The equation is transformed into :
     
1
4
X − 380 = 0

    Transposition :
     
1
4
X = 0 + 380

    Combine the items on the right of the equation:
     
1
4
X = 380

    The coefficient of the unknown number is reduced to 1 :
      X = 380 ÷
1
4
        = 380 × 4

    We obtained :
      X = 1520
    This is the solution of the equation.



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