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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 540540000 = 1.0×14.3×250X(585-1/2×X)+1.0×14.3(600-250)×120(585-60) .
    Question type: Equation
    Solution:Original question:
     540540000 = 1 ×
143
10
× 250 X (585 − 1 ÷ 2 × X ) + 1 ×
143
10
(600 − 250) × 120(585 − 60)
     Right side of the equation = 3575 X (585 − 1 ÷ 2 × X ) + 1716(600 − 250)(585 − 60)
    The equation is transformed into :
     540540000 = 3575 X (585 − 1 ÷ 2 × X ) + 1716(600 − 250)(585 − 60)
    Remove the bracket on the right of the equation:
     Right side of the equation = 3575 X × 585 − 3575 X × 1 ÷ 2 × X + 1716(600 − 250)(585 − 60)
                                               = 2091375 X −
3575
2
X X + 1716(600 − 250)(585 − 60)
                                               = 2091375 X −
3575
2
X X + 1716 × 600(585 − 60) − 1716 × 250(585 − 60)
                                               = 2091375 X −
3575
2
X X + 1029600(585 − 60) − 429000(585 − 60)
                                               = 2091375 X −
3575
2
X X + 1029600 × 585 − 1029600 × 60 − 429000(585 − 60)
                                               = 2091375 X −
3575
2
X X + 602316000 − 61776000 − 429000(585 − 60)
                                               = 2091375 X −
3575
2
X X + 540540000 − 429000(585 − 60)
                                               = 2091375 X −
3575
2
X X + 540540000 − 429000 × 585 + 429000 × 60
                                               = 2091375 X −
3575
2
X X + 540540000 − 250965000 + 25740000
                                               = 2091375 X −
3575
2
X X + 315315000
    The equation is transformed into :
     540540000 = 2091375 X −
3575
2
X X + 315315000

    
        X≈258.461538 , 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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