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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 (3396-60X)*(2700/480*1460/1000)*1460/2630 = (1596-60X)*(2700/480*2630/1000) .
    Question type: Equation
    Solution:Original question:
     (339660 X )(2700 ÷ 480 × 1460 ÷ 1000) × 1460 ÷ 2630 = (159660 X )(2700 ÷ 480 × 2630 ÷ 1000)
     Left side of the equation = (339660 X )(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
    The equation is transformed into :
     (339660 X )(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
= (159660 X )(2700 ÷ 480 × 2630 ÷ 1000)
    Remove the bracket on the left of the equation:
     Left side of the equation = 3396(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
60 X (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
495816
263
(2700 ÷ 480 × 1460 ÷ 1000)
8760
263
X (2700 ÷ 480 × 1460 ÷ 1000)
                                             =
495816
263
× 2700 ÷ 480 × 1460 ÷ 1000
8760
263
X (2700 ÷ 480 × 1460 ÷ 1000)
                                             =
40718889
2630
8760
263
X (2700 ÷ 480 × 1460 ÷ 1000)
                                             =
40718889
2630
8760
263
X × 2700 ÷ 480 × 1460 ÷ 1000
                                             =
40718889
2630
143883
526
X
    The equation is transformed into :
     
40718889
2630
143883
526
X = (159660 X )(2700 ÷ 480 × 2630 ÷ 1000)
    Remove the bracket on the right of the equation:
     Right side of the equation = 1596(2700 ÷ 480 × 2630 ÷ 1000)60 X (2700 ÷ 480 × 2630 ÷ 1000)
                                               = 1596 × 2700 ÷ 480 × 2630 ÷ 100060 X (2700 ÷ 480 × 2630 ÷ 1000)
                                               =
944433
40
60 X (2700 ÷ 480 × 2630 ÷ 1000)
                                               =
944433
40
60 X × 2700 ÷ 480 × 2630 ÷ 1000
                                               =
944433
40
7101
8
X
    The equation is transformed into :
     
40718889
2630
143883
526
X =
944433
40
7101
8
X

    Transposition :
      -
143883
526
X +
7101
8
X =
944433
40
40718889
2630

    Combine the items on the left of the equation:
     
1292031
2104
X =
944433
40
40718889
2630

    Combine the items on the right of the equation:
     
1292031
2104
X =
85510323
10520

    The coefficient of the unknown number is reduced to 1 :
      X =
85510323
10520
÷
1292031
2104
        =
85510323
10520
×
2104
1292031
        =
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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