(w^2+8w+12)(3w-27)=0

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Solution for (w^2+8w+12)(3w-27)=0 equation: 


Simplifying
(w2 + 8w + 12)(3w + -27) = 0

Reorder the terms:
(12 + 8w + w2)(3w + -27) = 0

Reorder the terms:
(12 + 8w + w2)(-27 + 3w) = 0

Multiply (12 + 8w + w2) * (-27 + 3w)
(12(-27 + 3w) + 8w * (-27 + 3w) + w2(-27 + 3w)) = 0
((-27 * 12 + 3w * 12) + 8w * (-27 + 3w) + w2(-27 + 3w)) = 0
((-324 + 36w) + 8w * (-27 + 3w) + w2(-27 + 3w)) = 0
(-324 + 36w + (-27 * 8w + 3w * 8w) + w2(-27 + 3w)) = 0
(-324 + 36w + (-216w + 24w2) + w2(-27 + 3w)) = 0
(-324 + 36w + -216w + 24w2 + (-27 * w2 + 3w * w2)) = 0
(-324 + 36w + -216w + 24w2 + (-27w2 + 3w3)) = 0

Combine like terms: 36w + -216w = -180w
(-324 + -180w + 24w2 + -27w2 + 3w3) = 0

Combine like terms: 24w2 + -27w2 = -3w2
(-324 + -180w + -3w2 + 3w3) = 0

Solving
-324 + -180w + -3w2 + 3w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-108 + -60w + -1w2 + w3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-108 + -60w + -1w2 + w3)' equal to zero and attempt to solve:

Simplifying
-108 + -60w + -1w2 + w3 = 0

Solving
-108 + -60w + -1w2 + 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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