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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 60*(24.6-x)*(2700/480*2630/1000)*1460/2630 = 60*(56.6-x)*(2700/480*1430/1000) .
    Question type: Equation
    Solution:Original question:
     60(
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000) × 1460 ÷ 2630 = 60(
283
5
x )(2700 ÷ 480 × 1430 ÷ 1000)
     Left side of the equation =
8760
263
(
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000)
    The equation is transformed into :
     
8760
263
(
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000) = 60(
283
5
x )(2700 ÷ 480 × 1430 ÷ 1000)
    Remove the bracket on the left of the equation:
     Left side of the equation =
8760
263
×
123
5
(2700 ÷ 480 × 2630 ÷ 1000)
8760
263
x (2700 ÷ 480 × 2630 ÷ 1000)
                                             =
215496
263
(2700 ÷ 480 × 2630 ÷ 1000)
8760
263
x (2700 ÷ 480 × 2630 ÷ 1000)
                                             =
215496
263
× 2700 ÷ 480 × 2630 ÷ 1000
8760
263
x (2700 ÷ 480 × 2630 ÷ 1000)
                                             =
242433
20
8760
263
x (2700 ÷ 480 × 2630 ÷ 1000)
                                             =
242433
20
8760
263
x × 2700 ÷ 480 × 2630 ÷ 1000
                                             =
242433
20
1971
4
x
    The equation is transformed into :
     
242433
20
1971
4
x = 60(
283
5
x )(2700 ÷ 480 × 1430 ÷ 1000)
    Remove the bracket on the right of the equation:
     Right side of the equation = 60 ×
283
5
(2700 ÷ 480 × 1430 ÷ 1000)60 x (2700 ÷ 480 × 1430 ÷ 1000)
                                               = 3396(2700 ÷ 480 × 1430 ÷ 1000)60 x (2700 ÷ 480 × 1430 ÷ 1000)
                                               = 3396 × 2700 ÷ 480 × 1430 ÷ 100060 x (2700 ÷ 480 × 1430 ÷ 1000)
                                               =
1092663
40
60 x (2700 ÷ 480 × 1430 ÷ 1000)
                                               =
1092663
40
60 x × 2700 ÷ 480 × 1430 ÷ 1000
                                               =
1092663
40
3861
8
x
    The equation is transformed into :
     
242433
20
1971
4
x =
1092663
40
3861
8
x

    Transposition :
      -
1971
4
x +
3861
8
x =
1092663
40
242433
20

    Combine the items on the left of the equation:
      -
81
8
x =
1092663
40
242433
20

    Combine the items on the right of the equation:
      -
81
8
x =
607797
40

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
607797
40
=
81
8
x

    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 :
     
81
8
x = -
607797
40

    The coefficient of the unknown number is reduced to 1 :
      x = -
607797
40
÷
81
8
        = -
607797
40
×
8
81
        = -
22511
5
×
1
3

    We obtained :
      x = -
22511
15
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 1500.733333



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