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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 2.5*x = (1+1.5*x)*(-0.5*x+0.6) .
    Question type: Equation
    Solution:Original question:
     
5
2
x = (1 +
3
2
x )( -
1
2
x +
3
5
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 1( -
1
2
x +
3
5
) +
3
2
x ( -
1
2
x +
3
5
)
                                               = - 1 ×
1
2
x + 1 ×
3
5
+
3
2
x ( -
1
2
x +
3
5
)
                                               = -
1
2
x +
3
5
+
3
2
x ( -
1
2
x +
3
5
)
                                               = -
1
2
x +
3
5
3
2
x ×
1
2
x +
3
2
x ×
3
5
                                               = -
1
2
x +
3
5
3
4
x x +
9
10
x
                                               =
2
5
x +
3
5
3
4
x x
    The equation is transformed into :
     
5
2
x =
2
5
x +
3
5
3
4
x x

    The solution of the equation:
        x1≈-3.061325 , keep 6 decimal places
        x2≈0.261325 , 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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