8x^8-8x^2-28x/4x

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Solution for 8x^8-8x^2-28x/4x equation:


x in (-oo:+oo)

8*x^8-(8*x^2)-(((28*x)/4)*x) = 0

8*x^8-8*x^2-7*x^2 = 0

8*x^8-15*x^2 = 0

t_1 = x^2

8*t_1^4-15*t_1^1 = 0

8*t_1^4-15*t_1 = 0

t_1*(8*t_1^3-15) = 0

8*t_1^3 = 15 // : 8

t_1^3 = 15/8

t_1^3 = 15/8 // ^ 1/3

t_1 = (15/8)^(1/3)

t_1 = 0

t_1 = 0

t_1 = (15/8)^(1/3)

x^2-(15/8)^(1/3) = 0

1*x^2 = (15/8)^(1/3) // : 1

x^2 = (15/8)^(1/3)

x^2 = (15/8)^(1/3) // ^ 1/2

abs(x) = (15/8)^(1/6)

x = (15/8)^(1/6) or x = -(15/8)^(1/6)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { (15/8)^(1/6), -(15/8)^(1/6), 0 }

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