(3x-6)(x+10)x(2x-8)=

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Solution for (3x-6)(x+10)x(2x-8)= equation: 


Simplifying
(3x + -6)(x + 10) * x(2x + -8) = 0

Reorder the terms:
(-6 + 3x)(x + 10) * x(2x + -8) = 0

Reorder the terms:
(-6 + 3x)(10 + x) * x(2x + -8) = 0

Reorder the terms:
(-6 + 3x)(10 + x) * x(-8 + 2x) = 0

Reorder the terms for easier multiplication:
x(-6 + 3x)(10 + x)(-8 + 2x) = 0

Multiply (-6 + 3x) * (10 + x)
x(-6(10 + x) + 3x * (10 + x))(-8 + 2x) = 0
x((10 * -6 + x * -6) + 3x * (10 + x))(-8 + 2x) = 0
x((-60 + -6x) + 3x * (10 + x))(-8 + 2x) = 0
x(-60 + -6x + (10 * 3x + x * 3x))(-8 + 2x) = 0
x(-60 + -6x + (30x + 3x2))(-8 + 2x) = 0

Combine like terms: -6x + 30x = 24x
x(-60 + 24x + 3x2)(-8 + 2x) = 0

Multiply (-60 + 24x + 3x2) * (-8 + 2x)
x(-60(-8 + 2x) + 24x * (-8 + 2x) + 3x2 * (-8 + 2x)) = 0
x((-8 * -60 + 2x * -60) + 24x * (-8 + 2x) + 3x2 * (-8 + 2x)) = 0
x((480 + -120x) + 24x * (-8 + 2x) + 3x2 * (-8 + 2x)) = 0
x(480 + -120x + (-8 * 24x + 2x * 24x) + 3x2 * (-8 + 2x)) = 0
x(480 + -120x + (-192x + 48x2) + 3x2 * (-8 + 2x)) = 0
x(480 + -120x + -192x + 48x2 + (-8 * 3x2 + 2x * 3x2)) = 0
x(480 + -120x + -192x + 48x2 + (-24x2 + 6x3)) = 0

Combine like terms: -120x + -192x = -312x
x(480 + -312x + 48x2 + -24x2 + 6x3) = 0

Combine like terms: 48x2 + -24x2 = 24x2
x(480 + -312x + 24x2 + 6x3) = 0
(480 * x + -312x * x + 24x2 * x + 6x3 * x) = 0
(480x + -312x2 + 24x3 + 6x4) = 0

Solving
480x + -312x2 + 24x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(80 + -52x + 4x2 + x3) = 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 '(80 + -52x + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
80 + -52x + 4x2 + x3 = 0

Solving
80 + -52x + 4x2 + x3 = 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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