(3x-12)(x+2)(x-1)=0

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Solution for (3x-12)(x+2)(x-1)=0 equation:


Simplifying
(3x + -12)(x + 2)(x + -1) = 0

Reorder the terms:
(-12 + 3x)(x + 2)(x + -1) = 0

Reorder the terms:
(-12 + 3x)(2 + x)(x + -1) = 0

Reorder the terms:
(-12 + 3x)(2 + x)(-1 + x) = 0

Multiply (-12 + 3x) * (2 + x)
(-12(2 + x) + 3x * (2 + x))(-1 + x) = 0
((2 * -12 + x * -12) + 3x * (2 + x))(-1 + x) = 0
((-24 + -12x) + 3x * (2 + x))(-1 + x) = 0
(-24 + -12x + (2 * 3x + x * 3x))(-1 + x) = 0
(-24 + -12x + (6x + 3x2))(-1 + x) = 0

Combine like terms: -12x + 6x = -6x
(-24 + -6x + 3x2)(-1 + x) = 0

Multiply (-24 + -6x + 3x2) * (-1 + x)
(-24(-1 + x) + -6x * (-1 + x) + 3x2 * (-1 + x)) = 0
((-1 * -24 + x * -24) + -6x * (-1 + x) + 3x2 * (-1 + x)) = 0
((24 + -24x) + -6x * (-1 + x) + 3x2 * (-1 + x)) = 0
(24 + -24x + (-1 * -6x + x * -6x) + 3x2 * (-1 + x)) = 0
(24 + -24x + (6x + -6x2) + 3x2 * (-1 + x)) = 0
(24 + -24x + 6x + -6x2 + (-1 * 3x2 + x * 3x2)) = 0
(24 + -24x + 6x + -6x2 + (-3x2 + 3x3)) = 0

Combine like terms: -24x + 6x = -18x
(24 + -18x + -6x2 + -3x2 + 3x3) = 0

Combine like terms: -6x2 + -3x2 = -9x2
(24 + -18x + -9x2 + 3x3) = 0

Solving
24 + -18x + -9x2 + 3x3 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + -6x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
8 + -6x + -3x2 + x3 = 0

Solving
8 + -6x + -3x2 + 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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