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

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


Simplifying
(x + 6)(x + -2)(2x + 8) = 0

Reorder the terms:
(6 + x)(x + -2)(2x + 8) = 0

Reorder the terms:
(6 + x)(-2 + x)(2x + 8) = 0

Reorder the terms:
(6 + x)(-2 + x)(8 + 2x) = 0

Multiply (6 + x) * (-2 + x)
(6(-2 + x) + x(-2 + x))(8 + 2x) = 0
((-2 * 6 + x * 6) + x(-2 + x))(8 + 2x) = 0
((-12 + 6x) + x(-2 + x))(8 + 2x) = 0
(-12 + 6x + (-2 * x + x * x))(8 + 2x) = 0
(-12 + 6x + (-2x + x2))(8 + 2x) = 0

Combine like terms: 6x + -2x = 4x
(-12 + 4x + x2)(8 + 2x) = 0

Multiply (-12 + 4x + x2) * (8 + 2x)
(-12(8 + 2x) + 4x * (8 + 2x) + x2(8 + 2x)) = 0
((8 * -12 + 2x * -12) + 4x * (8 + 2x) + x2(8 + 2x)) = 0
((-96 + -24x) + 4x * (8 + 2x) + x2(8 + 2x)) = 0
(-96 + -24x + (8 * 4x + 2x * 4x) + x2(8 + 2x)) = 0
(-96 + -24x + (32x + 8x2) + x2(8 + 2x)) = 0
(-96 + -24x + 32x + 8x2 + (8 * x2 + 2x * x2)) = 0
(-96 + -24x + 32x + 8x2 + (8x2 + 2x3)) = 0

Combine like terms: -24x + 32x = 8x
(-96 + 8x + 8x2 + 8x2 + 2x3) = 0

Combine like terms: 8x2 + 8x2 = 16x2
(-96 + 8x + 16x2 + 2x3) = 0

Solving
-96 + 8x + 16x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + 4x + 8x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-48 + 4x + 8x2 + x3)' equal to zero and attempt to solve:

Simplifying
-48 + 4x + 8x2 + x3 = 0

Solving
-48 + 4x + 8x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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