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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)*(1-25%)/3000 = (X-200-150)*(1-25%)/3000+300 .
    Question type: Equation
    Solution:Original question:
     ( X − 200)(1 −
25
100
) ÷ 3000 = ( X − 200 − 150)(1 −
25
100
) ÷ 3000 + 300
    Remove the bracket on the left of the equation:
     Left side of the equation = X (1 −
25
100
) ×
1
3000
 − 200(1 −
25
100
) ×
1
3000
                                             = X (1 −
25
100
) ×
1
3000
 −
1
15
(1 −
25
100
)
                                             = X × 1 ×
1
3000
 − X ×
25
100
 ×
1
3000
 −
1
15
(1 −
25
100
)
                                             = X ×
1
3000
 − X ×
1
12000
 −
1
15
(1 −
25
100
)
                                             =
1
4000
 X −
1
15
(1 −
25
100
)
                                             =
1
4000
 X −
1
15
 × 1 +
1
15
 ×
25
100
                                             =
1
4000
 X −
1
15
 +
1
60
                                             =
1
4000
 X −
1
20
    The equation is transformed into :
     
1
4000
 X −
1
20
 = ( X − 200 − 150)(1 −
25
100
) ÷ 3000 + 300
    Remove the bracket on the right of the equation:
     Right side of the equation = X (1 −
25
100
) ×
1
3000
 − 200(1 −
25
100
) ×
1
3000
 − 150(1 −
25
100
) ×
1
3000
 + 300
                                               = X (1 −
25
100
) ×
1
3000
 −
1
15
(1 −
25
100
) −
1
20
(1 −
25
100
) + 300
                                               = X × 1 ×
1
3000
 − X ×
25
100
 ×
1
3000
 −
1
15
(1 −
25
100
) −
1
20
(1 −
25
100
) + 300
                                               = X ×
1
3000
 − X ×
1
12000
 −
1
15
(1 −
25
100
) −
1
20
(1 −
25
100
) + 300
                                               =
1
4000
 X −
1
15
(1 −
25
100
) −
1
20
(1 −
25
100
) + 300
                                               =
1
4000
 X −
1
15
 × 1 +
1
15
 ×
25
100
 −
1
20
(1 −
25
100
) + 300
                                               =
1
4000
 X −
1
15
 +
1
60
 −
1
20
(1 −
25
100
) + 300
                                               =
1
4000
 X +
5999
20
 −
1
20
(1 −
25
100
)
                                               =
1
4000
 X +
5999
20
 −
1
20
 × 1 +
1
20
 ×
25
100
                                               =
1
4000
 X +
5999
20
 −
1
20
 +
1
80
                                               =
1
4000
 X +
23993
80
    The equation is transformed into :
     
1
4000
 X −
1
20
 =
1
4000
 X +
23993
80

    Transposition :
     
1
4000
 X −
1
4000
 X =
23993
80
 +
1
20

    Combine the items on the left of the equation:
      0 X =
23993
80
 +
1
20

    Combine the items on the right of the equation:
      0 X =
23997
80

    Error: This Equation has no solution!!



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