3x(x-2)(x+4)(x^2-1)=

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Solution for 3x(x-2)(x+4)(x^2-1)= equation:


Simplifying
3x(x + -2)(x + 4)(x2 + -1) = 0

Reorder the terms:
3x(-2 + x)(x + 4)(x2 + -1) = 0

Reorder the terms:
3x(-2 + x)(4 + x)(x2 + -1) = 0

Reorder the terms:
3x(-2 + x)(4 + x)(-1 + x2) = 0

Multiply (-2 + x) * (4 + x)
3x(-2(4 + x) + x(4 + x))(-1 + x2) = 0
3x((4 * -2 + x * -2) + x(4 + x))(-1 + x2) = 0
3x((-8 + -2x) + x(4 + x))(-1 + x2) = 0
3x(-8 + -2x + (4 * x + x * x))(-1 + x2) = 0
3x(-8 + -2x + (4x + x2))(-1 + x2) = 0

Combine like terms: -2x + 4x = 2x
3x(-8 + 2x + x2)(-1 + x2) = 0

Multiply (-8 + 2x + x2) * (-1 + x2)
3x(-8(-1 + x2) + 2x * (-1 + x2) + x2(-1 + x2)) = 0
3x((-1 * -8 + x2 * -8) + 2x * (-1 + x2) + x2(-1 + x2)) = 0
3x((8 + -8x2) + 2x * (-1 + x2) + x2(-1 + x2)) = 0
3x(8 + -8x2 + (-1 * 2x + x2 * 2x) + x2(-1 + x2)) = 0
3x(8 + -8x2 + (-2x + 2x3) + x2(-1 + x2)) = 0
3x(8 + -8x2 + -2x + 2x3 + (-1 * x2 + x2 * x2)) = 0
3x(8 + -8x2 + -2x + 2x3 + (-1x2 + x4)) = 0

Reorder the terms:
3x(8 + -2x + -8x2 + -1x2 + 2x3 + x4) = 0

Combine like terms: -8x2 + -1x2 = -9x2
3x(8 + -2x + -9x2 + 2x3 + x4) = 0
(8 * 3x + -2x * 3x + -9x2 * 3x + 2x3 * 3x + x4 * 3x) = 0
(24x + -6x2 + -27x3 + 6x4 + 3x5) = 0

Solving
24x + -6x2 + -27x3 + 6x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(8 + -2x + -9x2 + 2x3 + x4) = 0

Ignore the factor 3.

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 '(8 + -2x + -9x2 + 2x3 + x4)' equal to zero and attempt to solve:

Simplifying
8 + -2x + -9x2 + 2x3 + x4 = 0

Solving
8 + -2x + -9x2 + 2x3 + 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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