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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 T = 1+(39763/30+3822/30)/{0.9[8190/60+3200/60*5]} .
    Question type: Equation
    Solution:Original question:
      T = 1 + (39763 ÷ 30 + 3822 ÷ 30) ÷ (
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5))
     Multiply both sides of the equation by:(
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5))
      T (
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5)) = 1(
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5)) + (39763 ÷ 30 + 3822 ÷ 30)
    Remove a bracket on the left of the equation::
      T ×
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5) = 1(
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5)) + (39763 ÷ 30 + 3822 ÷ 30)
    Remove a bracket on the right of the equation::
      T ×
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5) = 1 ×
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5) + (39763 ÷ 30 + 3822 ÷ 30)
    The equation is reduced to :
      T ×
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5) =
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5) + (39763 ÷ 30 + 3822 ÷ 30)
    Remove a bracket on the left of the equation:
      T ×
9
10
× 8190 ÷ 60 + T ×
9
10
× 3200 ÷ 60 × 5 =
9
10
(8190 ÷ 60 + 3200 ÷ 60 × 5) + (39763 ÷ 30 + 3822 ÷ 30)
    Remove a bracket on the right of the equation::
      T ×
9
10
× 8190 ÷ 60 + T ×
9
10
× 3200 ÷ 60 × 5 =
9
10
× 8190 ÷ 60 +
9
10
× 3200 ÷ 60 × 5 + (39763 ÷ 30 + 3822 ÷ 30)
    The equation is reduced to :
      T ×
2457
20
+ T × 240 =
2457
20
+ 240 + (39763 ÷ 30 + 3822 ÷ 30)
    The equation is reduced to :
     
7257
20
T =
7257
20
+ (39763 ÷ 30 + 3822 ÷ 30)
    Remove a bracket on the right of the equation::
     
7257
20
T =
7257
20
+ 39763 ÷ 30 + 3822 ÷ 30
    The equation is reduced to :
     
7257
20
T =
7257
20
+
39763
30
+
637
5
    The equation is reduced to :
     
7257
20
T =
108941
60

    The coefficient of the unknown number is reduced to 1 :
      T =
108941
60
÷
7257
20
        =
108941
60
×
20
7257
        =
108941
3
×
1
7257

    We obtained :
      T =
108941
21771
    This is the solution of the equation.

    Convert the result to decimal form :
      T = 5.00395



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