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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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    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 1/2(5x+3)×(5x+3)×(5x+3)+32 = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ 2 × (5 x + 3)(5 x + 3)(5 x + 3) + 32 = 0
     Left side of the equation =
1
2
(5 x + 3)(5 x + 3)(5 x + 3) + 32
    The equation is transformed into :
     
1
2
(5 x + 3)(5 x + 3)(5 x + 3) + 32 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
2
× 5 x (5 x + 3)(5 x + 3) +
1
2
× 3(5 x + 3)(5 x + 3) + 32
                                             =
5
2
x (5 x + 3)(5 x + 3) +
3
2
(5 x + 3)(5 x + 3) + 32
                                             =
5
2
x × 5 x (5 x + 3) +
5
2
x × 3(5 x + 3) +
3
2
(5 x + 3)(5 x + 3)
                                             =
25
2
x x (5 x + 3) +
15
2
x (5 x + 3) +
3
2
(5 x + 3)(5 x + 3) + 32
                                             =
25
2
x x × 5 x +
25
2
x x × 3 +
15
2
x (5 x + 3)
                                             =
125
2
x x x +
75
2
x x +
15
2
x (5 x + 3) +
3
2
(5 x + 3)
                                             =
125
2
x x x +
75
2
x x +
15
2
x × 5 x +
15
2
                                             =
125
2
x x x +
75
2
x x +
75
2
x x +
45
2
x
                                             =
125
2
x x x +
75
2
x x +
75
2
x x +
45
2
x
                                             =
125
2
x x x +
75
2
x x +
75
2
x x +
45
2
x
                                             =
125
2
x x x +
75
2
x x +
75
2
x x +
45
2
x
                                             =
125
2
x x x +
75
2
x x +
75
2
x x +
45
2
x
                                             =
125
2
x x x +
75
2
x x +
75
2
x x + 45 x
                                             =
125
2
x x x +
75
2
x x +
75
2
x x + 45 x
                                             =
125
2
x x x +
75
2
x x +
75
2
x x + 45 x
                                             =
125
2
x x x +
75
2
x x +
75
2
x x +
135
2
x
    The equation is transformed into :
     
125
2
x x x +
75
2
x x +
75
2
x x +
135
2
x = 0

    
        x=-
7
5
    
    There are 1 solution(s).


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