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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 2200000×(-178.9) = (-13.8)×300×x×(0.5x-40)+(x/555-0.82)×(-3.4483)×330×360×(555-40) .
    Question type: Equation
    Solution:Original question:
     2200000( -
1789
10
) = ( -
69
5
) × 300 x (
1
2
x 40) + ( x ÷ 555
41
50
)( -
34483
10000
) × 330 × 360(55540)
    Remove the bracket on the left of the equation:
     Left side of the equation = - 2200000 ×
1789
10
                                             = - 393580000
    The equation is transformed into :
      - 393580000 = ( -
69
5
) × 300 x (
1
2
x 40) + ( x ÷ 555
41
50
)( -
34483
10000
) × 330 × 360(55540)
     Right side of the equation = ( -
69
5
) × 300 x (
1
2
x 40) + ( x ÷ 555
41
50
)( -
34483
10000
) × 118800(55540)
    The equation is transformed into :
      - 393580000 = ( -
69
5
) × 300 x (
1
2
x 40) + ( x ÷ 555
41
50
)( -
34483
10000
) × 118800(55540)
    Remove the bracket on the right of the equation:
     Right side of the equation = -
69
5
× 300 x (
1
2
x 40) + ( x ÷ 555
41
50
)( -
34483
10000
) × 118800(55540)
                                               = - 4140 x (
1
2
x 40) + ( x ÷ 555
41
50
)( -
34483
10000
) × 118800(55540)
                                               = - 4140 x ×
1
2
x + 4140 x × 40 + ( x ÷ 555
41
50
)( -
34483
10000
) × 118800(55540)
                                               = - 2070 x x + 165600 x + ( x ÷ 555
41
50
)( -
34483
10000
) × 118800(55540)
                                               = - 2070 x x + 165600 x + x ÷ 555 × ( -
34483
10000
) × 118800(55540)
41
50
( -
34483
10000
)
                                               = - 2070 x x + 165600 x + x ×
7920
37
( -
34483
10000
)(55540)97416( -
34483
10000
)(55540)
                                               = - 2070 x x + 165600 x x ×
7920
37
×
34483
10000
(55540)97416( -
34483
10000
)(55540)
                                               = - 2070 x x + 165600 x x ×
3413817
4625
(55540)97416( -
34483
10000
)(55540)
                                               = - 2070 x x + 165600 x x ×
3413817
4625
× 555 + x ×
3413817
4625
× 4097416
                                               = - 2070 x x + 165600 x x ×
10241451
25
+ x ×
27310536
925
97416( -
34483
10000
)(55540)
                                               = - 2070 x x
198443151
925
x 97416( -
34483
10000
)(55540)
                                               = - 2070 x x
198443151
925
x + 97416 ×
34483
10000
(55540)
                                               = - 2070 x x
198443151
925
x +
419899491
1250
(55540)
                                               = - 2070 x x
198443151
925
x +
419899491
1250
× 555
419899491
1250
× 40

    the solutions is:
        x≈-397.875856 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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