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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-200-150)*(1-25%)/3300 = (X-200)*(1-25%)/3000 .
    Question type: Equation
    Solution:Original question:
     ( X − 200 − 150)(1 −
25
100
) ÷ 3300 = ( X − 200)(1 −
25
100
) ÷ 3000
    Remove the bracket on the left of the equation:
     Left side of the equation = X (1 −
25
100
) ×
1
3300
 − 200(1 −
25
100
) ×
1
3300
 − 150(1 −
25
100
) ×
1
3300
                                             = X (1 −
25
100
) ×
1
3300
 −
2
33
(1 −
25
100
) −
1
22
(1 −
25
100
)
                                             = X × 1 ×
1
3300
 − X ×
25
100
 ×
1
3300
 −
2
33
(1 −
25
100
) −
1
22
(1 −
25
100
)
                                             = X ×
1
3300
 − X ×
1
13200
 −
2
33
(1 −
25
100
) −
1
22
(1 −
25
100
)
                                             =
1
4400
 X −
2
33
(1 −
25
100
) −
1
22
(1 −
25
100
)
                                             =
1
4400
 X −
2
33
 × 1 +
2
33
 ×
25
100
 −
1
22
(1 −
25
100
)
                                             =
1
4400
 X −
2
33
 +
1
66
 −
1
22
(1 −
25
100
)
                                             =
1
4400
 X −
1
22
 −
1
22
(1 −
25
100
)
                                             =
1
4400
 X −
1
22
 −
1
22
 × 1 +
1
22
 ×
25
100
                                             =
1
4400
 X −
1
22
 −
1
22
 +
1
88
                                             =
1
4400
 X −
7
88
    The equation is transformed into :
     
1
4400
 X −
7
88
 = ( X − 200)(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
                                               = 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
4400
 X −
7
88
 =
1
4000
 X −
1
20

    Transposition :
     
1
4400
 X −
1
4000
 X = -
1
20
 +
7
88

    Combine the items on the left of the equation:
      -
1
44000
 X = -
1
20
 +
7
88

    Combine the items on the right of the equation:
      -
1
44000
 X =
13
440

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
13
440
 =
1
44000
 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 :
     
1
44000
 X = -
13
440

    The coefficient of the unknown number is reduced to 1 :
      X = -
13
440
 ÷
1
44000
        = -
13
440
 × 44000
        = - 13 × 100

    We obtained :
      X = - 1300
    This is the solution of the equation.



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