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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.
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    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+300 = （x-200-150）*(1-25%)/3000 .
    Question type: Equation
    Solution:Original question:
     ( x − 200)(1 −
25
100
) ÷ 3000 + 300 = ( x − 200 − 150)(1 −
25
100
) ÷ 3000
    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
 + 300
                                             = x (1 −
25
100
) ×
1
3000
 −
1
15
(1 −
25
100
) + 300
                                             = x × 1 ×
1
3000
 − x ×
25
100
 ×
1
3000
 −
1
15
(1 −
25
100
) + 300
                                             = x ×
1
3000
 − x ×
1
12000
 −
1
15
(1 −
25
100
) + 300
                                             =
1
4000
 x −
1
15
(1 −
25
100
) + 300
                                             =
1
4000
 x −
1
15
 × 1 +
1
15
 ×
25
100
 + 300
                                             =
1
4000
 x −
1
15
 +
1
60
 + 300
                                             =
1
4000
 x +
5999
20
    The equation is transformed into :
     
1
4000
 x +
5999
20
 = ( x − 200 − 150)(1 −
25
100
) ÷ 3000
    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
                                               = x (1 −
25
100
) ×
1
3000
 −
1
15
(1 −
25
100
) −
1
20
(1 −
25
100
)
                                               = x × 1 ×
1
3000
 − x ×
25
100
 ×
1
3000
 −
1
15
(1 −
25
100
) −
1
20
(1 −
25
100
)
                                               = x ×
1
3000
 − x ×
1
12000
 −
1
15
(1 −
25
100
) −
1
20
(1 −
25
100
)
                                               =
1
4000
 x −
1
15
(1 −
25
100
) −
1
20
(1 −
25
100
)
                                               =
1
4000
 x −
1
15
 × 1 +
1
15
 ×
25
100
 −
1
20
(1 −
25
100
)
                                               =
1
4000
 x −
1
15
 +
1
60
 −
1
20
(1 −
25
100
)
                                               =
1
4000
 x −
1
20
 −
1
20
(1 −
25
100
)
                                               =
1
4000
 x −
1
20
 −
1
20
 × 1 +
1
20
 ×
25
100
                                               =
1
4000
 x −
1
20
 −
1
20
 +
1
80
                                               =
1
4000
 x −
7
80
    The equation is transformed into :
     
1
4000
 x +
5999
20
 =
1
4000
 x −
7
80

    Transposition :
     
1
4000
 x −
1
4000
 x = -
7
80
 −
5999
20

    Combine the items on the left of the equation:
      0 x = -
7
80
 −
5999
20

    Combine the items on the right of the equation:
      0 x = -
24003
80

    Error: This Equation has no solution!!



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