(6x-18)(2x+2)(2x+2)=0

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Solution for (6x-18)(2x+2)(2x+2)=0 equation:


Simplifying
(6x + -18)(2x + 2)(2x + 2) = 0

Reorder the terms:
(-18 + 6x)(2x + 2)(2x + 2) = 0

Reorder the terms:
(-18 + 6x)(2 + 2x)(2x + 2) = 0

Reorder the terms:
(-18 + 6x)(2 + 2x)(2 + 2x) = 0

Multiply (-18 + 6x) * (2 + 2x)
(-18(2 + 2x) + 6x * (2 + 2x))(2 + 2x) = 0
((2 * -18 + 2x * -18) + 6x * (2 + 2x))(2 + 2x) = 0
((-36 + -36x) + 6x * (2 + 2x))(2 + 2x) = 0
(-36 + -36x + (2 * 6x + 2x * 6x))(2 + 2x) = 0
(-36 + -36x + (12x + 12x2))(2 + 2x) = 0

Combine like terms: -36x + 12x = -24x
(-36 + -24x + 12x2)(2 + 2x) = 0

Multiply (-36 + -24x + 12x2) * (2 + 2x)
(-36(2 + 2x) + -24x * (2 + 2x) + 12x2 * (2 + 2x)) = 0
((2 * -36 + 2x * -36) + -24x * (2 + 2x) + 12x2 * (2 + 2x)) = 0
((-72 + -72x) + -24x * (2 + 2x) + 12x2 * (2 + 2x)) = 0
(-72 + -72x + (2 * -24x + 2x * -24x) + 12x2 * (2 + 2x)) = 0
(-72 + -72x + (-48x + -48x2) + 12x2 * (2 + 2x)) = 0
(-72 + -72x + -48x + -48x2 + (2 * 12x2 + 2x * 12x2)) = 0
(-72 + -72x + -48x + -48x2 + (24x2 + 24x3)) = 0

Combine like terms: -72x + -48x = -120x
(-72 + -120x + -48x2 + 24x2 + 24x3) = 0

Combine like terms: -48x2 + 24x2 = -24x2
(-72 + -120x + -24x2 + 24x3) = 0

Solving
-72 + -120x + -24x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(-3 + -5x + -1x2 + x3) = 0

Ignore the factor 24.

Subproblem 1

Set the factor '(-3 + -5x + -1x2 + x3)' equal to zero and attempt to solve: Simplifying -3 + -5x + -1x2 + x3 = 0 Solving -3 + -5x + -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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