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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÷2)x+20)(-0.3)(90-x) = 65 .
    Question type: Equation
    Solution:Original question:
     ((3 ÷ 2) x + 20)( -
3
10
)(90 x ) = 65
    Remove the bracket on the left of the equation:
     Left side of the equation = (3 ÷ 2) x ( -
3
10
)(90 x ) + 20( -
3
10
)(90 x )
                                             = 3 ÷ 2 × x ( -
3
10
)(90 x ) + 20( -
3
10
)(90 x )
                                             =
3
2
x ( -
3
10
)(90 x ) + 20( -
3
10
)(90 x )
                                             = -
3
2
x ×
3
10
(90 x ) + 20( -
3
10
)(90 x )
                                             = -
9
20
x (90 x ) + 20( -
3
10
)(90 x )
                                             = -
9
20
x × 90 +
9
20
x x + 20( -
3
10
)(90 x )
                                             = -
81
2
x +
9
20
x x + 20( -
3
10
)(90 x )
                                             = -
81
2
x +
9
20
x x 20 ×
3
10
(90 x )
                                             = -
81
2
x +
9
20
x x 6(90 x )
                                             = -
81
2
x +
9
20
x x 6 × 90 + 6 x
                                             = -
81
2
x +
9
20
x x 540 + 6 x
                                             = -
69
2
x +
9
20
x x 540
    The equation is transformed into :
      -
69
2
x +
9
20
x x 540 = 65

    The solution of the equation:
        x1≈-14.712768 , keep 6 decimal places
        x2≈91.379435 , 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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