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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 （200-X）-（20-X*1%）-（20-X*1%）*12% = 92.16 .
    Question type: Equation
    Solution:Original question:
     (200 − X ) − (20 − X ×
1
100
) − (20 − X ×
1
100
) ×
12
100
 =
2304
25
    Remove the bracket on the left of the equation:
     Left side of the equation = 200 − X − (20 − X ×
1
100
) − (20 − X ×
1
100
) ×
12
100
                                             = 200 − X − 20 + X ×
1
100
 − (20 − X ×
1
100
) ×
12
100
                                             = 180 −
99
100
 X − (20 − X ×
1
100
) ×
12
100
                                             = 180 −
99
100
 X − 20 ×
12
100
 + X ×
1
100
 ×
12
100
                                             = 180 −
99
100
 X −
12
5
 + X ×
3
2500
                                             =
888
5
 −
618
625
 X
    The equation is transformed into :
     
888
5
 −
618
625
 X =
2304
25

    Transposition :
      -
618
625
 X =
2304
25
 −
888
5

    Combine the items on the right of the equation:
      -
618
625
 X = -
2136
25

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
2136
25
 =
618
625
 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 :
     
618
625
 X =
2136
25

    The coefficient of the unknown number is reduced to 1 :
      X =
2136
25
 ÷
618
625
        =
2136
25
 ×
625
618
        = 356 ×
25
103

    We obtained :
      X =
8900
103
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 86.407767



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