a^2*x^3-1/8*a^2*(1+x)^3

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Solution for a^2*x^3-1/8*a^2*(1+x)^3 equation: 


x in (-oo:+oo)

a^2*x^3-((1/8)*a^2*(x+1)^3) = 0

(-1/8)*a^2*(x+1)^3+a^2*x^3 = 0

a^2*x^3-1/8*a^2*(x+1)^3 = 0

a^2*x^3-1/8*a^2*(x+1)^3 = 0

7/8*a^2*x^3-3/8*a^2*x^2-3/8*a^2*x-1/8*a^2 = 0

7/8*a^2*x^3-3/8*a^2*x^2-3/8*a^2*x-1/8*a^2 = 0

1/8*a^2*(7*x^3-3*x^2-3*x-1) = 0

7*x^3-3*x^2-3*x-1 = 0

{ 1, -1 }

1

x = 1

7*x^3-3*x^2-3*x-1 = 0

1

x-1

7*x^2+4*x+1

7*x^3-3*x^2-3*x-1

x-1

7*x^2-7*x^3

4*x^2-3*x-1

4*x-4*x^2

x-1

1-x

0

7*x^2+4*x+1 = 0

DELTA = 4^2-(1*4*7)

DELTA = -12

DELTA < 0

x in { 1} 

1/8*a^2*(x-1) = 0

1/8*a^2*(x-1) = 0

x-1 = 0 // + 1

x = 1

x = 1

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