(x^3-8x)/4

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Solution for (x^3-8x)/4 equation:


x in (-oo:+oo)

(x^3-(8*x))/4 = 0

(x^3-8*x)/4 = 0

x^3-8*x = 0

x*(x^2-8) = 0

1*x^2 = 8 // : 1

x^2 = 8

x^2 = 8 // ^ 1/2

abs(x) = 2*2^(1/2)

x = 2*2^(1/2) or x = -(2*2^(1/2))

x*(x-2*2^(1/2))*(x+2*2^(1/2)) = 0

(x*(x-2*2^(1/2))*(x+2*2^(1/2)))/4 = 0

( x+2*2^(1/2) )

x+2*2^(1/2) = 0 // - 2*2^(1/2)

x = -(2*2^(1/2))

x = -2*2^(1/2)

( x-2*2^(1/2) )

x-2*2^(1/2) = 0 // + -2*2^(1/2)

x = -(-2*2^(1/2))

x = 2*2^(1/2)

( x )

x = 0

x in { -2*2^(1/2), 2*2^(1/2), 0 }

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