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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 (56.6-X)*(2700/480*1460/1000)*1460/2630 = (26.6-X)*(2700/480*2630/1000) .
    Question type: Equation
    Solution:Original question:
     (
283
5
X )(2700 ÷ 480 × 1460 ÷ 1000) × 1460 ÷ 2630 = (
133
5
X )(2700 ÷ 480 × 2630 ÷ 1000)
     Left side of the equation = (
283
5
X )(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
    The equation is transformed into :
     (
283
5
X )(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
= (
133
5
X )(2700 ÷ 480 × 2630 ÷ 1000)
    Remove the bracket on the left of the equation:
     Left side of the equation =
283
5
(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
X (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
41318
1315
(2700 ÷ 480 × 1460 ÷ 1000) X (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
41318
1315
× 2700 ÷ 480 × 1460 ÷ 1000 X (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
13572963
52600
X (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
13572963
52600
X × 2700 ÷ 480 × 1460 ÷ 1000 ×
146
263
                                             =
13572963
52600
X ×
47961
10520
    The equation is transformed into :
     
13572963
52600
47961
10520
X = (
133
5
X )(2700 ÷ 480 × 2630 ÷ 1000)
    Remove the bracket on the right of the equation:
     Right side of the equation =
133
5
(2700 ÷ 480 × 2630 ÷ 1000) X (2700 ÷ 480 × 2630 ÷ 1000)
                                               =
133
5
× 2700 ÷ 480 × 2630 ÷ 1000 X (2700 ÷ 480 × 2630 ÷ 1000)
                                               =
314811
800
X (2700 ÷ 480 × 2630 ÷ 1000)
                                               =
314811
800
X × 2700 ÷ 480 × 2630 ÷ 1000
                                               =
314811
800
X ×
2367
160
    The equation is transformed into :
     
13572963
52600
47961
10520
X =
314811
800
2367
160
X

    Transposition :
      -
47961
10520
X +
2367
160
X =
314811
800
13572963
52600

    Combine the items on the left of the equation:
     
430677
42080
X =
314811
800
13572963
52600

    Combine the items on the right of the equation:
     
430677
42080
X =
28503441
210400

    The coefficient of the unknown number is reduced to 1 :
      X =
28503441
210400
÷
430677
42080
        =
28503441
210400
×
42080
430677
        =
1055683
1315
×
263
15951

    We obtained :
      X =
277644629
20975565
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
1055683
79755

    Convert the result to decimal form :
      X = 13.236575



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