(3x^3-0x^2-12x)(6x^2-16x+8)=

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Solution for (3x^3-0x^2-12x)(6x^2-16x+8)= equation: 


Simplifying
(3x3 + 0x2 + -12x)(6x2 + -16x + 8) = 0

Anything times zero is zero.
(3x3 + 0x2 + -12x)(6x2 + -16x + 8) = 0

Reorder the terms:
(0 + -12x + 3x3)(6x2 + -16x + 8) = 0
Remove the zero:
(-12x + 3x3)(6x2 + -16x + 8) = 0

Reorder the terms:
(-12x + 3x3)(8 + -16x + 6x2) = 0

Multiply (-12x + 3x3) * (8 + -16x + 6x2)
(-12x * (8 + -16x + 6x2) + 3x3 * (8 + -16x + 6x2)) = 0
((8 * -12x + -16x * -12x + 6x2 * -12x) + 3x3 * (8 + -16x + 6x2)) = 0
((-96x + 192x2 + -72x3) + 3x3 * (8 + -16x + 6x2)) = 0
(-96x + 192x2 + -72x3 + (8 * 3x3 + -16x * 3x3 + 6x2 * 3x3)) = 0
(-96x + 192x2 + -72x3 + (24x3 + -48x4 + 18x5)) = 0

Combine like terms: -72x3 + 24x3 = -48x3
(-96x + 192x2 + -48x3 + -48x4 + 18x5) = 0

Solving
-96x + 192x2 + -48x3 + -48x4 + 18x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-16 + 32x + -8x2 + -8x3 + 3x4) = 0

Ignore the factor 6.

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 '(-16 + 32x + -8x2 + -8x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
-16 + 32x + -8x2 + -8x3 + 3x4 = 0

Solving
-16 + 32x + -8x2 + -8x3 + 3x4 = 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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