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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*0.06）*（1-0.25）/3600 = （x-6000*0.06-2400*0.08）*（1-0.25）/3000 .
    Question type: Equation
    Solution:Original question:
     ( x − 6000 ×
3
50
)(1 −
1
4
) ÷ 3600 = ( x − 6000 ×
3
50
 − 2400 ×
2
25
)(1 −
1
4
) ÷ 3000
    Remove the bracket on the left of the equation:
     Left side of the equation = x (1 −
1
4
) ×
1
3600
 − 6000 ×
3
50
(1 −
1
4
) ×
1
3600
                                             = x (1 −
1
4
) ×
1
3600
 −
1
10
(1 −
1
4
)
                                             = x × 1 ×
1
3600
 − x ×
1
4
 ×
1
3600
 −
1
10
(1 −
1
4
)
                                             = x ×
1
3600
 − x ×
1
14400
 −
1
10
(1 −
1
4
)
                                             =
1
4800
 x −
1
10
(1 −
1
4
)
                                             =
1
4800
 x −
1
10
 × 1 +
1
10
 ×
1
4
                                             =
1
4800
 x −
1
10
 +
1
40
                                             =
1
4800
 x −
3
40
    The equation is transformed into :
     
1
4800
 x −
3
40
 = ( x − 6000 ×
3
50
 − 2400 ×
2
25
)(1 −
1
4
) ÷ 3000
    Remove the bracket on the right of the equation:
     Right side of the equation = x (1 −
1
4
) ×
1
3000
 − 6000 ×
3
50
(1 −
1
4
) ×
1
3000
 − 2400 ×
2
25
(1 −
1
4
) ×
1
3000
                                               = x (1 −
1
4
) ×
1
3000
 −
3
25
(1 −
1
4
) −
8
125
(1 −
1
4
)
                                               = x × 1 ×
1
3000
 − x ×
1
4
 ×
1
3000
 −
3
25
(1 −
1
4
) −
8
125
(1 −
1
4
)
                                               = x ×
1
3000
 − x ×
1
12000
 −
3
25
(1 −
1
4
) −
8
125
(1 −
1
4
)
                                               =
1
4000
 x −
3
25
(1 −
1
4
) −
8
125
(1 −
1
4
)
                                               =
1
4000
 x −
3
25
 × 1 +
3
25
 ×
1
4
 −
8
125
(1 −
1
4
)
                                               =
1
4000
 x −
3
25
 +
3
100
 −
8
125
(1 −
1
4
)
                                               =
1
4000
 x −
9
100
 −
8
125
(1 −
1
4
)
                                               =
1
4000
 x −
9
100
 −
8
125
 × 1 +
8
125
 ×
1
4
                                               =
1
4000
 x −
9
100
 −
8
125
 +
2
125
                                               =
1
4000
 x −
69
500
    The equation is transformed into :
     
1
4800
 x −
3
40
 =
1
4000
 x −
69
500

    Transposition :
     
1
4800
 x −
1
4000
 x = -
69
500
 +
3
40

    Combine the items on the left of the equation:
      -
1
24000
 x = -
69
500
 +
3
40

    Combine the items on the right of the equation:
      -
1
24000
 x = -
63
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
63
1000
 =
1
24000
 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
24000
 x =
63
1000

    The coefficient of the unknown number is reduced to 1 :
      x =
63
1000
 ÷
1
24000
        =
63
1000
 × 24000
        = 63 × 24

    We obtained :
      x = 1512
    This is the solution of the equation.



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