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

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


Simplifying
(3x + -2)(2x2 + 6x + 6) = 0

Reorder the terms:
(-2 + 3x)(2x2 + 6x + 6) = 0

Reorder the terms:
(-2 + 3x)(6 + 6x + 2x2) = 0

Multiply (-2 + 3x) * (6 + 6x + 2x2)
(-2(6 + 6x + 2x2) + 3x * (6 + 6x + 2x2)) = 0
((6 * -2 + 6x * -2 + 2x2 * -2) + 3x * (6 + 6x + 2x2)) = 0
((-12 + -12x + -4x2) + 3x * (6 + 6x + 2x2)) = 0
(-12 + -12x + -4x2 + (6 * 3x + 6x * 3x + 2x2 * 3x)) = 0
(-12 + -12x + -4x2 + (18x + 18x2 + 6x3)) = 0

Reorder the terms:
(-12 + -12x + 18x + -4x2 + 18x2 + 6x3) = 0

Combine like terms: -12x + 18x = 6x
(-12 + 6x + -4x2 + 18x2 + 6x3) = 0

Combine like terms: -4x2 + 18x2 = 14x2
(-12 + 6x + 14x2 + 6x3) = 0

Solving
-12 + 6x + 14x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 3x + 7x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + 3x + 7x2 + 3x3)' equal to zero and attempt to solve: Simplifying -6 + 3x + 7x2 + 3x3 = 0 Solving -6 + 3x + 7x2 + 3x3 = 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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