(2x^2+6x+6)(3x-2)=0

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Solution for (2x^2+6x+6)(3x-2)=0 equation:


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

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

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

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

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

Combine like terms: 18x2 + -4x2 = 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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