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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 0 = W×(112%-36%)-(5000+W)×8%×(1-50%) .
    Question type: Equation
    Solution:Original question:
     0 = W (
112
100
36
100
)(5000 + W ) ×
8
100
(1
50
100
)
    Remove the bracket on the right of the equation:
     Right side of the equation = W ×
112
100
W ×
36
100
(5000 + W ) ×
8
100
(1
50
100
)
                                               =
19
25
W (5000 + W ) ×
8
100
(1
50
100
)
                                               =
19
25
W 5000 ×
8
100
(1
50
100
) W ×
8
100
(1
50
100
)
                                               =
19
25
W 400(1
50
100
) W ×
8
100
(1
50
100
)
                                               =
19
25
W 400 × 1 + 400 ×
50
100
W ×
8
100
(1
50
100
)
                                               =
19
25
W 400 + 200 W ×
8
100
(1
50
100
)
                                               =
19
25
W 200 W ×
8
100
(1
50
100
)
                                               =
19
25
W 200 W ×
8
100
× 1 + W ×
8
100
×
50
100
                                               =
19
25
W 200 W ×
2
25
+ W ×
1
25
                                               =
18
25
W 200
    The equation is transformed into :
     0 =
18
25
W 200

    Transposition :
      -
18
25
W = - 2000

    Combine the items on the right of the equation:
      -
18
25
W = - 200

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     200 =
18
25
W

    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 :
     
18
25
W = 200

    The coefficient of the unknown number is reduced to 1 :
      W = 200 ÷
18
25
        = 200 ×
25
18
        = 100 ×
25
9

    We obtained :
      W =
2500
9
    This is the solution of the equation.

    Convert the result to decimal form :
      W = 277.777778



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