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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-516-350)*0.75/600-210/600 = (x-516)*0.75/850-210/850 .
    Question type: Equation
    Solution:Original question:
     ( x − 516 − 350) ×
3
4
 ÷ 600 − 210 ÷ 600 = ( x − 516) ×
3
4
 ÷ 850 − 210 ÷ 850
     Left side of the equation = ( x − 516 − 350) ×
1
800
 −
7
20
    The equation is transformed into :
     ( x − 516 − 350) ×
1
800
 −
7
20
 = ( x − 516) ×
3
4
 ÷ 850 − 210 ÷ 850
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
800
 − 516 ×
1
800
 − 350 ×
1
800
 −
7
20
                                             = x ×
1
800
 −
129
200
 −
7
16
 −
7
20
                                             =
1
800
 x −
573
400
    The equation is transformed into :
     
1
800
 x −
573
400
 = ( x − 516) ×
3
4
 ÷ 850 − 210 ÷ 850
     Right side of the equation = ( x − 516) ×
3
3400
 −
21
85
    The equation is transformed into :
     
1
800
 x −
573
400
 = ( x − 516) ×
3
3400
 −
21
85
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
3
3400
 − 516 ×
3
3400
 −
21
85
                                               = x ×
3
3400
 −
387
850
 −
21
85
                                               =
3
3400
 x −
597
850
    The equation is transformed into :
     
1
800
 x −
573
400
 =
3
3400
 x −
597
850

    Transposition :
     
1
800
 x −
3
3400
 x = -
597
850
 +
573
400

    Combine the items on the left of the equation:
     
1
2720
 x = -
597
850
 +
573
400

    Combine the items on the right of the equation:
     
1
2720
 x =
993
1360

    The coefficient of the unknown number is reduced to 1 :
      x =
993
1360
 ÷
1
2720
        =
993
1360
 × 2720
        = 993 × 2

    We obtained :
      x = 1986
    This is the solution of the equation.



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