3x(2x-1)(x^2-9)(x^2+8)=0

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Solution for 3x(2x-1)(x^2-9)(x^2+8)=0 equation: 


Simplifying
3x(2x + -1)(x2 + -9)(x2 + 8) = 0

Reorder the terms:
3x(-1 + 2x)(x2 + -9)(x2 + 8) = 0

Reorder the terms:
3x(-1 + 2x)(-9 + x2)(x2 + 8) = 0

Reorder the terms:
3x(-1 + 2x)(-9 + x2)(8 + x2) = 0

Multiply (-1 + 2x) * (-9 + x2)
3x(-1(-9 + x2) + 2x * (-9 + x2))(8 + x2) = 0
3x((-9 * -1 + x2 * -1) + 2x * (-9 + x2))(8 + x2) = 0
3x((9 + -1x2) + 2x * (-9 + x2))(8 + x2) = 0
3x(9 + -1x2 + (-9 * 2x + x2 * 2x))(8 + x2) = 0
3x(9 + -1x2 + (-18x + 2x3))(8 + x2) = 0

Reorder the terms:
3x(9 + -18x + -1x2 + 2x3)(8 + x2) = 0
3x(9 + -18x + -1x2 + 2x3)(8 + x2) = 0

Multiply (9 + -18x + -1x2 + 2x3) * (8 + x2)
3x(9(8 + x2) + -18x * (8 + x2) + -1x2 * (8 + x2) + 2x3 * (8 + x2)) = 0
3x((8 * 9 + x2 * 9) + -18x * (8 + x2) + -1x2 * (8 + x2) + 2x3 * (8 + x2)) = 0
3x((72 + 9x2) + -18x * (8 + x2) + -1x2 * (8 + x2) + 2x3 * (8 + x2)) = 0
3x(72 + 9x2 + (8 * -18x + x2 * -18x) + -1x2 * (8 + x2) + 2x3 * (8 + x2)) = 0
3x(72 + 9x2 + (-144x + -18x3) + -1x2 * (8 + x2) + 2x3 * (8 + x2)) = 0
3x(72 + 9x2 + -144x + -18x3 + (8 * -1x2 + x2 * -1x2) + 2x3 * (8 + x2)) = 0
3x(72 + 9x2 + -144x + -18x3 + (-8x2 + -1x4) + 2x3 * (8 + x2)) = 0
3x(72 + 9x2 + -144x + -18x3 + -8x2 + -1x4 + (8 * 2x3 + x2 * 2x3)) = 0
3x(72 + 9x2 + -144x + -18x3 + -8x2 + -1x4 + (16x3 + 2x5)) = 0

Reorder the terms:
3x(72 + -144x + 9x2 + -8x2 + -18x3 + 16x3 + -1x4 + 2x5) = 0

Combine like terms: 9x2 + -8x2 = 1x2
3x(72 + -144x + 1x2 + -18x3 + 16x3 + -1x4 + 2x5) = 0

Combine like terms: -18x3 + 16x3 = -2x3
3x(72 + -144x + 1x2 + -2x3 + -1x4 + 2x5) = 0
(72 * 3x + -144x * 3x + 1x2 * 3x + -2x3 * 3x + -1x4 * 3x + 2x5 * 3x) = 0
(216x + -432x2 + 3x3 + -6x4 + -3x5 + 6x6) = 0

Solving
216x + -432x2 + 3x3 + -6x4 + -3x5 + 6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(72 + -144x + x2 + -2x3 + -1x4 + 2x5) = 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 '(72 + -144x + x2 + -2x3 + -1x4 + 2x5)' equal to zero and attempt to solve:

Simplifying
72 + -144x + x2 + -2x3 + -1x4 + 2x5 = 0

Solving
72 + -144x + x2 + -2x3 + -1x4 + 2x5 = 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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