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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) = (26.6-X)*(2700/480*2630/1000)*2630/1460 .
    Question type: Equation
    Solution:Original question:
     (
283
5
− X )(2700 ÷ 480 × 1460 ÷ 1000) = (
133
5
− X )(2700 ÷ 480 × 2630 ÷ 1000) × 2630 ÷ 1460
    Remove the bracket on the left of the equation:
     Left side of the equation =
283
5
(2700 ÷ 480 × 1460 ÷ 1000) − X (2700 ÷ 480 × 1460 ÷ 1000)
                                             =
283
5
× 2700 ÷ 480 × 1460 ÷ 1000 − X (2700 ÷ 480 × 1460 ÷ 1000)
                                             =
185931
400
− X (2700 ÷ 480 × 1460 ÷ 1000)
                                             =
185931
400
− X × 2700 ÷ 480 × 1460 ÷ 1000
                                             =
185931
400
− X ×
657
80
    The equation is transformed into :
     
185931
400
−
657
80
X = (
133
5
− X )(2700 ÷ 480 × 2630 ÷ 1000) × 2630 ÷ 1460
     Right side of the equation = (
133
5
− X )(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
    The equation is transformed into :
     
185931
400
−
657
80
X = (
133
5
− X )(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
    Remove the bracket on the right of the equation:
     Right side of the equation =
133
5
(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
− X (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                               =
34979
730
(2700 ÷ 480 × 2630 ÷ 1000) − X (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                               =
34979
730
× 2700 ÷ 480 × 2630 ÷ 1000 − X (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                               =
82795293
116800
− X (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                               =
82795293
116800
− X × 2700 ÷ 480 × 2630 ÷ 1000 ×
263
146
                                               =
82795293
116800
− X ×
622521
23360
    The equation is transformed into :
     
185931
400
−
657
80
X =
82795293
116800
−
622521
23360
X

    Transposition :
      -
657
80
X +
622521
23360
X =
82795293
116800
−
185931
400

    Combine the items on the left of the equation:
     
430677
23360
X =
82795293
116800
−
185931
400

    
        X≈53.361035 , 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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