8x(x+4)(x^2-x-6)=0

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Solution for 8x(x+4)(x^2-x-6)=0 equation:


Simplifying
8x(x + 4)(x2 + -1x + -6) = 0

Reorder the terms:
8x(4 + x)(x2 + -1x + -6) = 0

Reorder the terms:
8x(4 + x)(-6 + -1x + x2) = 0

Multiply (4 + x) * (-6 + -1x + x2)
8x(4(-6 + -1x + x2) + x(-6 + -1x + x2)) = 0
8x((-6 * 4 + -1x * 4 + x2 * 4) + x(-6 + -1x + x2)) = 0
8x((-24 + -4x + 4x2) + x(-6 + -1x + x2)) = 0
8x(-24 + -4x + 4x2 + (-6 * x + -1x * x + x2 * x)) = 0
8x(-24 + -4x + 4x2 + (-6x + -1x2 + x3)) = 0

Reorder the terms:
8x(-24 + -4x + -6x + 4x2 + -1x2 + x3) = 0

Combine like terms: -4x + -6x = -10x
8x(-24 + -10x + 4x2 + -1x2 + x3) = 0

Combine like terms: 4x2 + -1x2 = 3x2
8x(-24 + -10x + 3x2 + x3) = 0
(-24 * 8x + -10x * 8x + 3x2 * 8x + x3 * 8x) = 0
(-192x + -80x2 + 24x3 + 8x4) = 0

Solving
-192x + -80x2 + 24x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-24 + -10x + 3x2 + x3) = 0

Ignore the factor 8.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-24 + -10x + 3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-24 + -10x + 3x2 + x3 = 0

Solving
-24 + -10x + 3x2 + x3 = 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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