(3x+18)(x^2-x-2)=0

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Solution for (3x+18)(x^2-x-2)=0 equation:


Simplifying
(3x + 18)(x2 + -1x + -2) = 0

Reorder the terms:
(18 + 3x)(x2 + -1x + -2) = 0

Reorder the terms:
(18 + 3x)(-2 + -1x + x2) = 0

Multiply (18 + 3x) * (-2 + -1x + x2)
(18(-2 + -1x + x2) + 3x * (-2 + -1x + x2)) = 0
((-2 * 18 + -1x * 18 + x2 * 18) + 3x * (-2 + -1x + x2)) = 0
((-36 + -18x + 18x2) + 3x * (-2 + -1x + x2)) = 0
(-36 + -18x + 18x2 + (-2 * 3x + -1x * 3x + x2 * 3x)) = 0
(-36 + -18x + 18x2 + (-6x + -3x2 + 3x3)) = 0

Reorder the terms:
(-36 + -18x + -6x + 18x2 + -3x2 + 3x3) = 0

Combine like terms: -18x + -6x = -24x
(-36 + -24x + 18x2 + -3x2 + 3x3) = 0

Combine like terms: 18x2 + -3x2 = 15x2
(-36 + -24x + 15x2 + 3x3) = 0

Solving
-36 + -24x + 15x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -8x + 5x2 + x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-12 + -8x + 5x2 + x3)' equal to zero and attempt to solve: Simplifying -12 + -8x + 5x2 + x3 = 0 Solving -12 + -8x + 5x2 + 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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