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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 (26.6-x)*60*(2700/480*1460)*1460/2630 = (56.7-x)*60*(2700/480*2630) .
    Question type: Equation
    Solution:Original question:
     (
133
5
x ) × 60(2700 ÷ 480 × 1460) × 1460 ÷ 2630 = (
567
10
x ) × 60(2700 ÷ 480 × 2630)
     Left side of the equation = (
133
5
x ) ×
8760
263
(2700 ÷ 480 × 1460)
    The equation is transformed into :
     (
133
5
x ) ×
8760
263
(2700 ÷ 480 × 1460) = (
567
10
x ) × 60(2700 ÷ 480 × 2630)
    Remove the bracket on the left of the equation:
     Left side of the equation =
133
5
×
8760
263
(2700 ÷ 480 × 1460) x ×
8760
263
(2700 ÷ 480 × 1460)
                                             =
233016
263
(2700 ÷ 480 × 1460) x ×
8760
263
(2700 ÷ 480 × 1460)
                                             =
233016
263
× 2700 ÷ 480 × 1460 x ×
8760
263
(2700 ÷ 480 × 1460)
                                             =
1913643900
263
x ×
8760
263
(2700 ÷ 480 × 1460)
                                             =
1913643900
263
x ×
8760
263
× 2700 ÷ 480 × 1460
                                             =
1913643900
263
x ×
71941500
263
    The equation is transformed into :
     
1913643900
263
71941500
263
x = (
567
10
x ) × 60(2700 ÷ 480 × 2630)
    Remove the bracket on the right of the equation:
     Right side of the equation =
567
10
× 60(2700 ÷ 480 × 2630) x × 60(2700 ÷ 480 × 2630)
                                               = 3402(2700 ÷ 480 × 2630) x × 60(2700 ÷ 480 × 2630)
                                               = 3402 × 2700 ÷ 480 × 2630 x × 60(2700 ÷ 480 × 2630)
                                               =
100656675
2
x × 60(2700 ÷ 480 × 2630)
                                               =
100656675
2
x × 60 × 2700 ÷ 480 × 2630
                                               =
100656675
2
x × 887625
    The equation is transformed into :
     
1913643900
263
71941500
263
x =
100656675
2
887625 x

    Transposition :
      -
71941500
263
x + 887625 x =
100656675
2
1913643900
263

    Combine the items on the left of the equation:
     
161503875
263
x =
100656675
2
1913643900
263

    
        x≈26.599793 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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