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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 (24.6-x)*(2700/480*2630/1000)*1460/2630 = (56.6-x)*(2700/480*1430/1000) .
    Question type: Equation
    Solution:Original question:
     (
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000) × 1460 ÷ 2630 = (
283
5
x )(2700 ÷ 480 × 1430 ÷ 1000)
     Left side of the equation = (
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000) ×
146
263
    The equation is transformed into :
     (
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000) ×
146
263
= (
283
5
x )(2700 ÷ 480 × 1430 ÷ 1000)
    Remove the bracket on the left of the equation:
     Left side of the equation =
123
5
(2700 ÷ 480 × 2630 ÷ 1000) ×
146
263
x (2700 ÷ 480 × 2630 ÷ 1000) ×
146
263
                                             =
17958
1315
(2700 ÷ 480 × 2630 ÷ 1000) x (2700 ÷ 480 × 2630 ÷ 1000) ×
146
263
                                             =
17958
1315
× 2700 ÷ 480 × 2630 ÷ 1000 x (2700 ÷ 480 × 2630 ÷ 1000) ×
146
263
                                             =
80811
400
x (2700 ÷ 480 × 2630 ÷ 1000) ×
146
263
                                             =
80811
400
x × 2700 ÷ 480 × 2630 ÷ 1000 ×
146
263
                                             =
80811
400
x ×
172791
21040
    The equation is transformed into :
     
80811
400
172791
21040
x = (
283
5
x )(2700 ÷ 480 × 1430 ÷ 1000)
    Remove the bracket on the right of the equation:
     Right side of the equation =
283
5
(2700 ÷ 480 × 1430 ÷ 1000) x (2700 ÷ 480 × 1430 ÷ 1000)
                                               =
283
5
× 2700 ÷ 480 × 1430 ÷ 1000 x (2700 ÷ 480 × 1430 ÷ 1000)
                                               =
364221
800
x (2700 ÷ 480 × 1430 ÷ 1000)
                                               =
364221
800
x × 2700 ÷ 480 × 1430 ÷ 1000
                                               =
364221
800
x ×
1287
160
    The equation is transformed into :
     
80811
400
172791
21040
x =
364221
800
1287
160
x

    Transposition :
      -
172791
21040
x +
1287
160
x =
364221
800
80811
400

    Combine the items on the left of the equation:
      -
7101
42080
x =
364221
800
80811
400

    Combine the items on the right of the equation:
      -
7101
42080
x =
202599
800

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
202599
800
=
7101
42080
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 :
     
7101
42080
x = -
202599
800

    The coefficient of the unknown number is reduced to 1 :
      x = -
202599
800
÷
7101
42080
        = -
202599
800
×
42080
7101
        = -
22511
5
×
263
789

    We obtained :
      x = -
5920393
3945
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 1500.733333



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