=(2x-2)(3x^2+9x-3)

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


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

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

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

Multiply (-2 + 2x) * (-3 + 9x + 3x2)
0 = (-2(-3 + 9x + 3x2) + 2x * (-3 + 9x + 3x2))
0 = ((-3 * -2 + 9x * -2 + 3x2 * -2) + 2x * (-3 + 9x + 3x2))
0 = ((6 + -18x + -6x2) + 2x * (-3 + 9x + 3x2))
0 = (6 + -18x + -6x2 + (-3 * 2x + 9x * 2x + 3x2 * 2x))
0 = (6 + -18x + -6x2 + (-6x + 18x2 + 6x3))

Reorder the terms:
0 = (6 + -18x + -6x + -6x2 + 18x2 + 6x3)

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

Combine like terms: -6x2 + 18x2 = 12x2
0 = (6 + -24x + 12x2 + 6x3)

Solving
0 = 6 + -24x + 12x2 + 6x3

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + 24x + -12x2 + -6x3 = 6 + -24x + 12x2 + 6x3 + -6 + 24x + -12x2 + -6x3

Reorder the terms:
-6 + 24x + -12x2 + -6x3 = 6 + -6 + -24x + 24x + 12x2 + -12x2 + 6x3 + -6x3

Combine like terms: 6 + -6 = 0
-6 + 24x + -12x2 + -6x3 = 0 + -24x + 24x + 12x2 + -12x2 + 6x3 + -6x3
-6 + 24x + -12x2 + -6x3 = -24x + 24x + 12x2 + -12x2 + 6x3 + -6x3

Combine like terms: -24x + 24x = 0
-6 + 24x + -12x2 + -6x3 = 0 + 12x2 + -12x2 + 6x3 + -6x3
-6 + 24x + -12x2 + -6x3 = 12x2 + -12x2 + 6x3 + -6x3

Combine like terms: 12x2 + -12x2 = 0
-6 + 24x + -12x2 + -6x3 = 0 + 6x3 + -6x3
-6 + 24x + -12x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-6 + 24x + -12x2 + -6x3 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + 4x + -2x2 + -1x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-1 + 4x + -2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-1 + 4x + -2x2 + -1x3 = 0

Solving
-1 + 4x + -2x2 + -1x3 = 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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