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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 （100*Q-（300-20+353.57+50）-(100*Q*0.13*0.1-20*0.1)）*0.75/（4100-2000+250） = 8% .
    Question type: Equation
    Solution:Original question:
     (100 Q − (300 − 20 +
35357
100
 + 50) − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
)) ×
3
4
 ÷ (4100 − 2000 + 250) =
8
100
     Multiply both sides of the equation by:(4100 − 2000 + 250)
     (100 Q − (300 − 20 +
35357
100
 + 50) − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
)) ×
3
4
 =
8
100
(4100 − 2000 + 250)
    Remove a bracket on the left of the equation:：
     100 Q ×
3
4
 − (300 − 20 +
35357
100
 + 50) ×
3
4
 − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
) ×
3
4
 =
8
100
(4100 − 2000 + 250)
    Remove a bracket on the right of the equation:：
     100 Q ×
3
4
 − (300 − 20 +
35357
100
 + 50) ×
3
4
 − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
) ×
3
4
 =
8
100
 × 4100 −
8
100
 × 2000 +
8
100
 × 250
    The equation is reduced to :
     75 Q − (300 − 20 +
35357
100
 + 50) ×
3
4
 − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
) ×
3
4
 = 328 − 160 + 20
    The equation is reduced to :
     75 Q − (300 − 20 +
35357
100
 + 50) ×
3
4
 − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
) ×
3
4
 = 188
    Remove a bracket on the left of the equation:
     75 Q − 300 ×
3
4
 + 20 ×
3
4
 −
35357
100
 ×
3
4
 − 50 ×
3
4
 − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
) ×
3
4
 = 188
    The equation is reduced to :
     75 Q − 225 + 15 −
106071
400
 −
75
2
 − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
) ×
3
4
 = 188
    The equation is reduced to :
     75 Q −
205071
400
 − (100 Q ×
13
100
 ×
1
10
 − 20 ×
1
10
) ×
3
4
 = 188
    Remove a bracket on the left of the equation:
     75 Q −
205071
400
 − 100 Q ×
13
100
 ×
1
10
 ×
3
4
 + 20 ×
1
10
 ×
3
4
 = 188
    The equation is reduced to :
     75 Q −
205071
400
 −
39
40
 Q +
3
2
 = 188
    The equation is reduced to :
     
2961
40
 Q −
204471
400
 = 188

    Transposition :
     
2961
40
 Q = 188 +
204471
400

    Combine the items on the right of the equation:
     
2961
40
 Q =
279671
400

    The coefficient of the unknown number is reduced to 1 :
      Q =
279671
400
 ÷
2961
40
        =
279671
400
 ×
40
2961
        =
39953
10
 ×
1
423

    We obtained :
      Q =
39953
4230
    This is the solution of the equation.

    Convert the result to decimal form :
      Q = 9.445154



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