(x+2)(x-1)(3x-6)=

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Solution for (x+2)(x-1)(3x-6)= equation: 


Simplifying
(x + 2)(x + -1)(3x + -6) = 0

Reorder the terms:
(2 + x)(x + -1)(3x + -6) = 0

Reorder the terms:
(2 + x)(-1 + x)(3x + -6) = 0

Reorder the terms:
(2 + x)(-1 + x)(-6 + 3x) = 0

Multiply (2 + x) * (-1 + x)
(2(-1 + x) + x(-1 + x))(-6 + 3x) = 0
((-1 * 2 + x * 2) + x(-1 + x))(-6 + 3x) = 0
((-2 + 2x) + x(-1 + x))(-6 + 3x) = 0
(-2 + 2x + (-1 * x + x * x))(-6 + 3x) = 0
(-2 + 2x + (-1x + x2))(-6 + 3x) = 0

Combine like terms: 2x + -1x = 1x
(-2 + 1x + x2)(-6 + 3x) = 0

Multiply (-2 + 1x + x2) * (-6 + 3x)
(-2(-6 + 3x) + 1x * (-6 + 3x) + x2(-6 + 3x)) = 0
((-6 * -2 + 3x * -2) + 1x * (-6 + 3x) + x2(-6 + 3x)) = 0
((12 + -6x) + 1x * (-6 + 3x) + x2(-6 + 3x)) = 0
(12 + -6x + (-6 * 1x + 3x * 1x) + x2(-6 + 3x)) = 0
(12 + -6x + (-6x + 3x2) + x2(-6 + 3x)) = 0
(12 + -6x + -6x + 3x2 + (-6 * x2 + 3x * x2)) = 0
(12 + -6x + -6x + 3x2 + (-6x2 + 3x3)) = 0

Combine like terms: -6x + -6x = -12x
(12 + -12x + 3x2 + -6x2 + 3x3) = 0

Combine like terms: 3x2 + -6x2 = -3x2
(12 + -12x + -3x2 + 3x3) = 0

Solving
12 + -12x + -3x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + -4x + -1x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + -4x + -1x2 + x3)' equal to zero and attempt to solve:

Simplifying
4 + -4x + -1x2 + x3 = 0

Solving
4 + -4x + -1x2 + 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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