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On line Solution of Monovariate 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*(1-60%)-2500-375-280]*(1-25%)-240}/600 = 0 .
    Question type: Equation
    Solution:Original question:
     (( X (1 −
60
100
) − 2500 − 375 − 280)(1 −
25
100
) − 240) ÷ 600 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = ( X (1 −
60
100
) − 2500 − 375 − 280)(1 −
25
100
) ×
1
600
 − 240 ×
1
600
                                             = ( X (1 −
60
100
) − 2500 − 375 − 280)(1 −
25
100
) ×
1
600
 −
2
5
                                             = X (1 −
60
100
)(1 −
25
100
) ×
1
600
 − 2500(1 −
25
100
) ×
1
600
 − 375(1 −
25
100
) ×
1
600
 − 280(1 −
25
100
)
                                             = X (1 −
60
100
)(1 −
25
100
) ×
1
600
 −
25
6
(1 −
25
100
) −
5
8
(1 −
25
100
) −
7
15
(1 −
25
100
) −
2
5
                                             = X × 1(1 −
25
100
) ×
1
600
 − X ×
60
100
(1 −
25
100
) ×
1
600
 −
25
6
(1 −
25
100
) −
5
8
(1 −
25
100
)
                                             = X ×
1
600
(1 −
25
100
) − X ×
1
1000
(1 −
25
100
) −
25
6
(1 −
25
100
) −
5
8
(1 −
25
100
) −
7
15
(1 −
25
100
)
                                             = X ×
1
600
 × 1 − X ×
1
600
 ×
25
100
 − X ×
1
1000
(1 −
25
100
) −
25
6
(1 −
25
100
) −
5
8
                                             = X ×
1
600
 − X ×
1
2400
 − X ×
1
1000
(1 −
25
100
) −
25
6
(1 −
25
100
) −
5
8
(1 −
25
100
) −
7
15
                                             =
1
800
 X − X ×
1
1000
(1 −
25
100
) −
25
6
(1 −
25
100
) −
5
8
(1 −
25
100
) −
7
15
(1 −
25
100
) −
2
5
                                             =
1
800
 X − X ×
1
1000
 × 1 + X ×
1
1000
 ×
25
100
 −
25
6
(1 −
25
100
) −
5
8
(1 −
25
100
)
                                             =
1
800
 X − X ×
1
1000
 + X ×
1
4000
 −
25
6
(1 −
25
100
) −
5
8
(1 −
25
100
) −
7
15
(1 −
25
100
)
                                             =
1
2000
 X −
25
6
(1 −
25
100
) −
5
8
(1 −
25
100
) −
7
15
(1 −
25
100
) −
2
5
                                             =
1
2000
 X −
25
6
 × 1 +
25
6
 ×
25
100
 −
5
8
(1 −
25
100
) −
7
15
(1 −
25
100
) −
2
5
                                             =
1
2000
 X −
25
6
 +
25
24
 −
5
8
(1 −
25
100
) −
7
15
(1 −
25
100
) −
2
5
                                             =
1
2000
 X −
141
40
 −
5
8
(1 −
25
100
) −
7
15
(1 −
25
100
)
                                             =
1
2000
 X −
141
40
 −
5
8
 × 1 +
5
8
 ×
25
100
 −
7
15
(1 −
25
100
)
                                             =
1
2000
 X −
141
40
 −
5
8
 +
5
32
 −
7
15
(1 −
25
100
)
                                             =
1
2000
 X −
639
160
 −
7
15
(1 −
25
100
)
                                             =
1
2000
 X −
639
160
 −
7
15
 × 1 +
7
15
 ×
25
100
                                             =
1
2000
 X −
639
160
 −
7
15
 +
7
60
                                             =
1
2000
 X −
139
32
    The equation is transformed into :
     
1
2000
 X −
139
32
 = 0

    Transposition :
     
1
2000
 X = 0 +
139
32

    Combine the items on the right of the equation:
     
1
2000
 X =
139
32

    The coefficient of the unknown number is reduced to 1 :
      X =
139
32
 ÷
1
2000
        =
139
32
 × 2000
        =
139
2
 × 125

    We obtained :
      X =
17375
2
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 8687.5



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