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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the 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 [（90Q－（580+20Q)－(90Q×13%-5Q）×10%]×（1-25%）+357.29 ) = 424.36 .
    Question type: Equation
    Solution:Original question:
     ((90 Q − (580 + 20 Q ) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
)(1 −
25
100
) +
35729
100
) =
10609
25
    Remove the bracket on the left of the equation:
     Left side of the equation = (90 Q − (580 + 20 Q ) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
)(1 −
25
100
) +
35729
100
                                             = 90 Q (1 −
25
100
) − (580 + 20 Q )(1 −
25
100
) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
) +
35729
100
                                             = 90 Q × 1 − 90 Q ×
25
100
 − (580 + 20 Q )(1 −
25
100
) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
) +
35729
100
                                             = 90 Q −
45
2
 Q − (580 + 20 Q )(1 −
25
100
) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
) +
35729
100
                                             =
135
2
 Q − (580 + 20 Q )(1 −
25
100
) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
) +
35729
100
                                             =
135
2
 Q − 580(1 −
25
100
) − 20 Q (1 −
25
100
) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
) +
35729
100
                                             =
135
2
 Q − 580 × 1 + 580 ×
25
100
 − 20 Q (1 −
25
100
) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
)
                                             =
135
2
 Q − 580 + 145 − 20 Q (1 −
25
100
) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
) +
35729
100
                                             =
135
2
 Q −
7771
100
 − 20 Q (1 −
25
100
) − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
)
                                             =
135
2
 Q −
7771
100
 − 20 Q × 1 + 20 Q ×
25
100
 − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
)
                                             =
135
2
 Q −
7771
100
 − 20 Q + 5 Q − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
)
                                             =
105
2
 Q −
7771
100
 − (90 Q ×
13
100
 − 5 Q ) ×
10
100
(1 −
25
100
)
                                             =
105
2
 Q −
7771
100
 − 90 Q ×
13
100
 ×
10
100
(1 −
25
100
) + 5 Q ×
10
100
(1 −
25
100
)
                                             =
105
2
 Q −
7771
100
 −
117
100
 Q (1 −
25
100
) +
1
2
 Q (1 −
25
100
)
                                             =
105
2
 Q −
7771
100
 −
117
100
 Q × 1 +
117
100
 Q ×
25
100
 +
1
2
 Q (1 −
25
100
)
                                             =
105
2
 Q −
7771
100
 −
117
100
 Q +
117
400
 Q +
1
2
 Q (1 −
25
100
)
                                             =
20649
400
 Q −
7771
100
 +
1
2
 Q (1 −
25
100
)
                                             =
20649
400
 Q −
7771
100
 +
1
2
 Q × 1 −
1
2
 Q ×
25
100
                                             =
20649
400
 Q −
7771
100
 +
1
2
 Q −
1
8
 Q
                                             =
20799
400
 Q −
7771
100
    The equation is transformed into :
     
20799
400
 Q −
7771
100
 =
10609
25

    Transposition :
     
20799
400
 Q =
10609
25
 +
7771
100

    Combine the items on the right of the equation:
     
20799
400
 Q =
50207
100

    The coefficient of the unknown number is reduced to 1 :
      Q =
50207
100
 ÷
20799
400
        =
50207
100
 ×
400
20799
        = 50207 ×
4
20799

    We obtained :
      Q =
200828
20799
    This is the solution of the equation.

    Convert the result to decimal form :
      Q = 9.655657



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