(w^2-4w-12)(2w+18)=0

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Solution for (w^2-4w-12)(2w+18)=0 equation:


Simplifying
(w2 + -4w + -12)(2w + 18) = 0

Reorder the terms:
(-12 + -4w + w2)(2w + 18) = 0

Reorder the terms:
(-12 + -4w + w2)(18 + 2w) = 0

Multiply (-12 + -4w + w2) * (18 + 2w)
(-12(18 + 2w) + -4w * (18 + 2w) + w2(18 + 2w)) = 0
((18 * -12 + 2w * -12) + -4w * (18 + 2w) + w2(18 + 2w)) = 0
((-216 + -24w) + -4w * (18 + 2w) + w2(18 + 2w)) = 0
(-216 + -24w + (18 * -4w + 2w * -4w) + w2(18 + 2w)) = 0
(-216 + -24w + (-72w + -8w2) + w2(18 + 2w)) = 0
(-216 + -24w + -72w + -8w2 + (18 * w2 + 2w * w2)) = 0
(-216 + -24w + -72w + -8w2 + (18w2 + 2w3)) = 0

Combine like terms: -24w + -72w = -96w
(-216 + -96w + -8w2 + 18w2 + 2w3) = 0

Combine like terms: -8w2 + 18w2 = 10w2
(-216 + -96w + 10w2 + 2w3) = 0

Solving
-216 + -96w + 10w2 + 2w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-108 + -48w + 5w2 + w3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-108 + -48w + 5w2 + w3)' equal to zero and attempt to solve: Simplifying -108 + -48w + 5w2 + w3 = 0 Solving -108 + -48w + 5w2 + w3 = 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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