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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 2640 = [X*(0.9-0.4)-(4000+2000+1200)]*(1-25%) .
    Question type: Equation
    Solution:Original question:
     2640 = ( X (
9
10
2
5
)(4000 + 2000 + 1200))(1
25
100
)
    Remove the bracket on the right of the equation:
     Right side of the equation = X (
9
10
2
5
)(1
25
100
)(4000 + 2000 + 1200)(1
25
100
)
                                               = X ×
9
10
(1
25
100
) X ×
2
5
(1
25
100
)(4000 + 2000 + 1200)(1
25
100
)
                                               = X ×
9
10
× 1 X ×
9
10
×
25
100
X ×
2
5
(1
25
100
)(4000 + 2000 + 1200)(1
25
100
)
                                               = X ×
9
10
X ×
9
40
X ×
2
5
(1
25
100
)(4000 + 2000 + 1200)(1
25
100
)
                                               =
27
40
X X ×
2
5
(1
25
100
)(4000 + 2000 + 1200)(1
25
100
)
                                               =
27
40
X X ×
2
5
× 1 + X ×
2
5
×
25
100
(4000 + 2000 + 1200)(1
25
100
)
                                               =
27
40
X X ×
2
5
+ X ×
1
10
(4000 + 2000 + 1200)(1
25
100
)
                                               =
3
8
X (4000 + 2000 + 1200)(1
25
100
)
                                               =
3
8
X 4000(1
25
100
)2000(1
25
100
)1200(1
25
100
)
                                               =
3
8
X 4000 × 1 + 4000 ×
25
100
2000(1
25
100
)1200(1
25
100
)
                                               =
3
8
X 4000 + 10002000(1
25
100
)1200(1
25
100
)
                                               =
3
8
X 30002000(1
25
100
)1200(1
25
100
)
                                               =
3
8
X 30002000 × 1 + 2000 ×
25
100
1200(1
25
100
)
                                               =
3
8
X 30002000 + 5001200(1
25
100
)
                                               =
3
8
X 45001200(1
25
100
)
                                               =
3
8
X 45001200 × 1 + 1200 ×
25
100
                                               =
3
8
X 45001200 + 300
                                               =
3
8
X 5400
    The equation is transformed into :
     2640 =
3
8
X 5400

    Transposition :
      -
3
8
X = - 54002640

    Combine the items on the right of the equation:
      -
3
8
X = - 8040

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     8040 =
3
8
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 :
     
3
8
X = 8040

    The coefficient of the unknown number is reduced to 1 :
      X = 8040 ÷
3
8
        = 8040 ×
8
3
        = 2680 × 8

    We obtained :
      X = 21440
    This is the solution of the equation.



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