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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 (1800-180)×135×(x0-67.5)+180×x02/2 = 6.6667×9161×(1536-x0) .
    Question type: Equation
    Solution:Original question:
     (1800180) × 135( x × 0
135
2
) + 180 x × 2 ÷ 2 =
66667
10000
× 9161(1536 x × 0)
     Left side of the equation = (1800180) × 135( x × 0
135
2
) + 180 x
    The equation is transformed into :
     (1800180) × 135( x × 0
135
2
) + 180 x =
66667
10000
× 9161(1536 x × 0)
    Remove the bracket on the left of the equation:
     Left side of the equation = 1800 × 135( x × 0
135
2
)180 × 135( x × 0
135
2
) + 180 x
                                             = 243000( x × 0
135
2
)24300( x × 0
135
2
) + 180 x
                                             = 243000 x × 0243000 ×
135
2
24300( x × 0
135
2
) + 180 x
                                             = 0 x 1640250024300( x × 0
135
2
) + 180 x
                                             = 180 x 1640250024300( x × 0
135
2
)
                                             = 180 x 1640250024300 x × 0 + 24300 ×
135
2
                                             = 180 x 164025000 x + 1640250
                                             = 180 x 14762250
    The equation is transformed into :
     180 x 14762250 =
66667
10000
× 9161(1536 x × 0)
     Right side of the equation =
610736387
10000
(1536 x × 0)
    The equation is transformed into :
     180 x 14762250 =
610736387
10000
(1536 x × 0)
    Remove the bracket on the right of the equation:
     Right side of the equation =
610736387
10000
× 1536
610736387
10000
x × 0

    
        x≈603174.216907 , 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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