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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-6000*0.08-400)*(1-0.25)-3000*0.1/5000 = (x-3000*0.08-400)*(1-0.25)-3000*0.1/6000 .
    Question type: Equation
    Solution:Original question:
     ( x − 6000 ×
2
25
 − 400)(1 −
1
4
) − 3000 ×
1
10
 ÷ 5000 = ( x − 3000 ×
2
25
 − 400)(1 −
1
4
) − 3000 ×
1
10
 ÷ 6000
     Left side of the equation = ( x − 6000 ×
2
25
 − 400)(1 −
1
4
) −
3
50
    The equation is transformed into :
     ( x − 6000 ×
2
25
 − 400)(1 −
1
4
) −
3
50
 = ( x − 3000 ×
2
25
 − 400)(1 −
1
4
) − 3000 ×
1
10
 ÷ 6000
    Remove the bracket on the left of the equation:
     Left side of the equation = x (1 −
1
4
) − 6000 ×
2
25
(1 −
1
4
) − 400(1 −
1
4
) −
3
50
                                             = x (1 −
1
4
) − 480(1 −
1
4
) − 400(1 −
1
4
) −
3
50
                                             = x × 1 − x ×
1
4
 − 480(1 −
1
4
) − 400(1 −
1
4
) −
3
50
                                             =
3
4
 x − 480(1 −
1
4
) − 400(1 −
1
4
) −
3
50
                                             =
3
4
 x − 480 × 1 + 480 ×
1
4
 − 400(1 −
1
4
) −
3
50
                                             =
3
4
 x − 480 + 120 − 400(1 −
1
4
) −
3
50
                                             =
3
4
 x −
18003
50
 − 400(1 −
1
4
)
                                             =
3
4
 x −
18003
50
 − 400 × 1 + 400 ×
1
4
                                             =
3
4
 x −
18003
50
 − 400 + 100
                                             =
3
4
 x −
33003
50
    The equation is transformed into :
     
3
4
 x −
33003
50
 = ( x − 3000 ×
2
25
 − 400)(1 −
1
4
) − 3000 ×
1
10
 ÷ 6000
     Right side of the equation = ( x − 3000 ×
2
25
 − 400)(1 −
1
4
) −
1
20
    The equation is transformed into :
     
3
4
 x −
33003
50
 = ( x − 3000 ×
2
25
 − 400)(1 −
1
4
) −
1
20
    Remove the bracket on the right of the equation:
     Right side of the equation = x (1 −
1
4
) − 3000 ×
2
25
(1 −
1
4
) − 400(1 −
1
4
) −
1
20
                                               = x (1 −
1
4
) − 240(1 −
1
4
) − 400(1 −
1
4
) −
1
20
                                               = x × 1 − x ×
1
4
 − 240(1 −
1
4
) − 400(1 −
1
4
) −
1
20
                                               =
3
4
 x − 240(1 −
1
4
) − 400(1 −
1
4
) −
1
20
                                               =
3
4
 x − 240 × 1 + 240 ×
1
4
 − 400(1 −
1
4
) −
1
20
                                               =
3
4
 x − 240 + 60 − 400(1 −
1
4
) −
1
20
                                               =
3
4
 x −
3601
20
 − 400(1 −
1
4
)
                                               =
3
4
 x −
3601
20
 − 400 × 1 + 400 ×
1
4
                                               =
3
4
 x −
3601
20
 − 400 + 100
                                               =
3
4
 x −
9601
20

    
        x=
14002
25
    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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