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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 (x+5)(x-2)(2+x)(x/5) = x+15 .
    Question type: Equation
    Solution:Original question:
     ( x + 5)( x 2)(2 + x )( x ÷ 5) = x + 15
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x 2)(2 + x )( x ÷ 5) + 5( x 2)(2 + x )( x ÷ 5)
                                             = x x (2 + x )( x ÷ 5) x × 2(2 + x )( x ÷ 5) + 5( x 2)(2 + x )( x ÷ 5)
                                             = x x × 2( x ÷ 5) + x x x ( x ÷ 5) x × 2(2 + x )( x ÷ 5)
                                             = x x × 2 x ÷ 5 + x x x ( x ÷ 5) x × 2(2 + x )
                                             = x x ×
2
5
x + x x x ( x ÷ 5) x × 2(2 + x )( x ÷ 5)
                                             = x x ×
2
5
x + x x x x ÷ 5 x × 2(2 + x )
                                             = x x ×
2
5
x + x x x x ×
1
5
x × 2 × 2
                                             = x x ×
2
5
x + x x x x ×
1
5
x × 4( x ÷ 5)
                                             = x x ×
2
5
x + x x x x ×
1
5
x × 4 x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x
                                             = x x ×
2
5
x + x x x x ×
1
5
x ×
4
5
x

    The solution of the equation:
        x1≈-5.362878 , keep 6 decimal places
        x2≈2.831942 , 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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