(w^2+9w+18)(3w-27)=0

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Solution for (w^2+9w+18)(3w-27)=0 equation:


Simplifying
(w2 + 9w + 18)(3w + -27) = 0

Reorder the terms:
(18 + 9w + w2)(3w + -27) = 0

Reorder the terms:
(18 + 9w + w2)(-27 + 3w) = 0

Multiply (18 + 9w + w2) * (-27 + 3w)
(18(-27 + 3w) + 9w * (-27 + 3w) + w2(-27 + 3w)) = 0
((-27 * 18 + 3w * 18) + 9w * (-27 + 3w) + w2(-27 + 3w)) = 0
((-486 + 54w) + 9w * (-27 + 3w) + w2(-27 + 3w)) = 0
(-486 + 54w + (-27 * 9w + 3w * 9w) + w2(-27 + 3w)) = 0
(-486 + 54w + (-243w + 27w2) + w2(-27 + 3w)) = 0
(-486 + 54w + -243w + 27w2 + (-27 * w2 + 3w * w2)) = 0
(-486 + 54w + -243w + 27w2 + (-27w2 + 3w3)) = 0

Combine like terms: 54w + -243w = -189w
(-486 + -189w + 27w2 + -27w2 + 3w3) = 0

Combine like terms: 27w2 + -27w2 = 0
(-486 + -189w + 0 + 3w3) = 0
(-486 + -189w + 3w3) = 0

Solving
-486 + -189w + 3w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-162 + -63w + w3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-162 + -63w + w3)' equal to zero and attempt to solve: Simplifying -162 + -63w + w3 = 0 Solving -162 + -63w + 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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