x^2(x-6)(x^3-8)=0

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Solution for x^2(x-6)(x^3-8)=0 equation: 


Simplifying
x2(x + -6)(x3 + -8) = 0

Reorder the terms:
x2(-6 + x)(x3 + -8) = 0

Reorder the terms:
x2(-6 + x)(-8 + x3) = 0

Multiply (-6 + x) * (-8 + x3)
x2(-6(-8 + x3) + x(-8 + x3)) = 0
x2((-8 * -6 + x3 * -6) + x(-8 + x3)) = 0
x2((48 + -6x3) + x(-8 + x3)) = 0
x2(48 + -6x3 + (-8 * x + x3 * x)) = 0
x2(48 + -6x3 + (-8x + x4)) = 0

Reorder the terms:
x2(48 + -8x + -6x3 + x4) = 0
x2(48 + -8x + -6x3 + x4) = 0
(48 * x2 + -8x * x2 + -6x3 * x2 + x4 * x2) = 0
(48x2 + -8x3 + -6x5 + x6) = 0

Solving
48x2 + -8x3 + -6x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(48 + -8x + -6x3 + x4) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(48 + -8x + -6x3 + x4)' equal to zero and attempt to solve:

Simplifying
48 + -8x + -6x3 + x4 = 0

Solving
48 + -8x + -6x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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