(w^2+6w+5)(9w-36)=0

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Solution for (w^2+6w+5)(9w-36)=0 equation: 


Simplifying
(w2 + 6w + 5)(9w + -36) = 0

Reorder the terms:
(5 + 6w + w2)(9w + -36) = 0

Reorder the terms:
(5 + 6w + w2)(-36 + 9w) = 0

Multiply (5 + 6w + w2) * (-36 + 9w)
(5(-36 + 9w) + 6w * (-36 + 9w) + w2(-36 + 9w)) = 0
((-36 * 5 + 9w * 5) + 6w * (-36 + 9w) + w2(-36 + 9w)) = 0
((-180 + 45w) + 6w * (-36 + 9w) + w2(-36 + 9w)) = 0
(-180 + 45w + (-36 * 6w + 9w * 6w) + w2(-36 + 9w)) = 0
(-180 + 45w + (-216w + 54w2) + w2(-36 + 9w)) = 0
(-180 + 45w + -216w + 54w2 + (-36 * w2 + 9w * w2)) = 0
(-180 + 45w + -216w + 54w2 + (-36w2 + 9w3)) = 0

Combine like terms: 45w + -216w = -171w
(-180 + -171w + 54w2 + -36w2 + 9w3) = 0

Combine like terms: 54w2 + -36w2 = 18w2
(-180 + -171w + 18w2 + 9w3) = 0

Solving
-180 + -171w + 18w2 + 9w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-20 + -19w + 2w2 + w3) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-20 + -19w + 2w2 + w3)' equal to zero and attempt to solve:

Simplifying
-20 + -19w + 2w2 + w3 = 0

Solving
-20 + -19w + 2w2 + 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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