3x3+9x24/8

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Solution for 3x3+9x24/8 equation: 


x in (-oo:+oo)

(9*x^24)/8+3*x^3 = 0

9/8*x^24+3*x^3 = 0

t_1 = x^3

9/8*t_1^8+3*t_1^1 = 0

9/8*t_1^8+3*t_1 = 0

3*t_1*(3/8*t_1^7+1) = 0

3/8*t_1^7 = -1 // : 3/8

t_1^7 = -8/3

t_1^7 = -8/3 // ^ 1/7

t_1 = -(8/3)^(1/7)

3*t_1 = 0

3*t_1 = 0 // : 3

t_1 = 0

t_1 = -(8/3)^(1/7)

x^3+(8/3)^(1/7) = 0

1*x^3 = -(8/3)^(1/7) // : 1

x^3 = -(8/3)^(1/7)

x^3 = -(8/3)^(1/7) // ^ 1/3

x = (8/3)^(1/21)

t_1 = 0

x^3+0 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { (8/3)^(1/21), 0 }

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