3(x-4)(x+8)(x-2)=0

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Solution for 3(x-4)(x+8)(x-2)=0 equation: 


Simplifying
3(x + -4)(x + 8)(x + -2) = 0

Reorder the terms:
3(-4 + x)(x + 8)(x + -2) = 0

Reorder the terms:
3(-4 + x)(8 + x)(x + -2) = 0

Reorder the terms:
3(-4 + x)(8 + x)(-2 + x) = 0

Multiply (-4 + x) * (8 + x)
3(-4(8 + x) + x(8 + x))(-2 + x) = 0
3((8 * -4 + x * -4) + x(8 + x))(-2 + x) = 0
3((-32 + -4x) + x(8 + x))(-2 + x) = 0
3(-32 + -4x + (8 * x + x * x))(-2 + x) = 0
3(-32 + -4x + (8x + x2))(-2 + x) = 0

Combine like terms: -4x + 8x = 4x
3(-32 + 4x + x2)(-2 + x) = 0

Multiply (-32 + 4x + x2) * (-2 + x)
3(-32(-2 + x) + 4x * (-2 + x) + x2(-2 + x)) = 0
3((-2 * -32 + x * -32) + 4x * (-2 + x) + x2(-2 + x)) = 0
3((64 + -32x) + 4x * (-2 + x) + x2(-2 + x)) = 0
3(64 + -32x + (-2 * 4x + x * 4x) + x2(-2 + x)) = 0
3(64 + -32x + (-8x + 4x2) + x2(-2 + x)) = 0
3(64 + -32x + -8x + 4x2 + (-2 * x2 + x * x2)) = 0
3(64 + -32x + -8x + 4x2 + (-2x2 + x3)) = 0

Combine like terms: -32x + -8x = -40x
3(64 + -40x + 4x2 + -2x2 + x3) = 0

Combine like terms: 4x2 + -2x2 = 2x2
3(64 + -40x + 2x2 + x3) = 0
(64 * 3 + -40x * 3 + 2x2 * 3 + x3 * 3) = 0
(192 + -120x + 6x2 + 3x3) = 0

Solving
192 + -120x + 6x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(64 + -40x + 2x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(64 + -40x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
64 + -40x + 2x2 + x3 = 0

Solving
64 + -40x + 2x2 + 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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