Mathematics
         
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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 3×(60+x×3÷2)×(40+x) = 642 .
    Question type: Equation
    Solution:Original question:
     3(60 + x × 3 ÷ 2)(40 + x ) = 642
    Remove the bracket on the left of the equation:
     Left side of the equation = 3 × 60(40 + x ) + 3 x × 3 ÷ 2 × (40 + x )
                                             = 180(40 + x ) +
9
2
x (40 + x )
                                             = 180 × 40 + 180 x +
9
2
x (40 + x )
                                             = 7200 + 180 x +
9
2
x (40 + x )
                                             = 7200 + 180 x +
9
2
x × 40 +
9
2
x x
                                             = 7200 + 180 x + 180 x +
9
2
x x
                                             = 7200 + 360 x +
9
2
x x
    The equation is transformed into :
     7200 + 360 x +
9
2
x x = 642

    The solution of the equation:
        x1≈-51.944315 , keep 6 decimal places
        x2≈-28.055685 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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