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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)*(2700/480*1460/1000)*1460/2630 = (56.7-x)*(2700/480*2630/1000) .
    Question type: Equation
    Solution:Original question:
     (
133
5
x )(2700 ÷ 480 × 1460 ÷ 1000) × 1460 ÷ 2630 = (
567
10
x )(2700 ÷ 480 × 2630 ÷ 1000)
     Left side of the equation = (
133
5
x )(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
    The equation is transformed into :
     (
133
5
x )(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
= (
567
10
x )(2700 ÷ 480 × 2630 ÷ 1000)
    Remove the bracket on the left of the equation:
     Left side of the equation =
133
5
(2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
x (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
19418
1315
(2700 ÷ 480 × 1460 ÷ 1000) x (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
19418
1315
× 2700 ÷ 480 × 1460 ÷ 1000 x (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
6378813
52600
x (2700 ÷ 480 × 1460 ÷ 1000) ×
146
263
                                             =
6378813
52600
x × 2700 ÷ 480 × 1460 ÷ 1000 ×
146
263
                                             =
6378813
52600
x ×
47961
10520
    The equation is transformed into :
     
6378813
52600
47961
10520
x = (
567
10
x )(2700 ÷ 480 × 2630 ÷ 1000)
    Remove the bracket on the right of the equation:
     Right side of the equation =
567
10
(2700 ÷ 480 × 2630 ÷ 1000) x (2700 ÷ 480 × 2630 ÷ 1000)
                                               =
567
10
× 2700 ÷ 480 × 2630 ÷ 1000 x (2700 ÷ 480 × 2630 ÷ 1000)
                                               =
1342089
1600
x (2700 ÷ 480 × 2630 ÷ 1000)
                                               =
1342089
1600
x × 2700 ÷ 480 × 2630 ÷ 1000
                                               =
1342089
1600
x ×
2367
160
    The equation is transformed into :
     
6378813
52600
47961
10520
x =
1342089
1600
2367
160
x

    Transposition :
      -
47961
10520
x +
2367
160
x =
1342089
1600
6378813
52600

    Combine the items on the left of the equation:
     
430677
42080
x =
1342089
1600
6378813
52600

    
        x≈14.163145 , 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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