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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.
    It supports equations that contain mathematical functions.
    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 (-4.90/12+Q/12+1.90)*100-(-Q/300+1.90)*100 = 85*7/12-Q*7/12 .
    Question type: Equation
    Solution:Original question:
     ( -
49
10
÷ 12 + Q ÷ 12 +
19
10
) × 100( - Q ÷ 300 +
19
10
) × 100 = 85 × 7 ÷ 12 Q × 7 ÷ 12
    Remove the bracket on the left of the equation:
     Left side of the equation = -
49
10
÷ 12 × 100 + Q ÷ 12 × 100 +
19
10
× 100( - Q ÷ 300 +
19
10
) × 100
                                             = -
245
6
+ Q ×
25
3
+ 190( - Q ÷ 300 +
19
10
) × 100
                                             =
895
6
+
25
3
Q ( - Q ÷ 300 +
19
10
) × 100
                                             =
895
6
+
25
3
Q + Q ÷ 300 × 100
19
10
× 100
                                             =
895
6
+
25
3
Q + Q ×
1
3
190
                                             = -
245
6
+
26
3
Q
    The equation is transformed into :
      -
245
6
+
26
3
Q = 85 × 7 ÷ 12 Q × 7 ÷ 12
     Right side of the equation =
595
12
Q ×
7
12
    The equation is transformed into :
      -
245
6
+
26
3
Q =
595
12
7
12
Q

    Transposition :
     
26
3
Q +
7
12
Q =
595
12
+
245
6

    Combine the items on the left of the equation:
     
37
4
Q =
595
12
+
245
6

    Combine the items on the right of the equation:
     
37
4
Q =
1085
12

    The coefficient of the unknown number is reduced to 1 :
      Q =
1085
12
÷
37
4
        =
1085
12
×
4
37
        =
1085
3
×
1
37

    We obtained :
      Q =
1085
111
    This is the solution of the equation.

    Convert the result to decimal form :
      Q = 9.774775



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