(w^2+3w-18)(2w+8)=0

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Solution for (w^2+3w-18)(2w+8)=0 equation: 


Simplifying
(w2 + 3w + -18)(2w + 8) = 0

Reorder the terms:
(-18 + 3w + w2)(2w + 8) = 0

Reorder the terms:
(-18 + 3w + w2)(8 + 2w) = 0

Multiply (-18 + 3w + w2) * (8 + 2w)
(-18(8 + 2w) + 3w * (8 + 2w) + w2(8 + 2w)) = 0
((8 * -18 + 2w * -18) + 3w * (8 + 2w) + w2(8 + 2w)) = 0
((-144 + -36w) + 3w * (8 + 2w) + w2(8 + 2w)) = 0
(-144 + -36w + (8 * 3w + 2w * 3w) + w2(8 + 2w)) = 0
(-144 + -36w + (24w + 6w2) + w2(8 + 2w)) = 0
(-144 + -36w + 24w + 6w2 + (8 * w2 + 2w * w2)) = 0
(-144 + -36w + 24w + 6w2 + (8w2 + 2w3)) = 0

Combine like terms: -36w + 24w = -12w
(-144 + -12w + 6w2 + 8w2 + 2w3) = 0

Combine like terms: 6w2 + 8w2 = 14w2
(-144 + -12w + 14w2 + 2w3) = 0

Solving
-144 + -12w + 14w2 + 2w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + -6w + 7w2 + w3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-72 + -6w + 7w2 + w3)' equal to zero and attempt to solve:

Simplifying
-72 + -6w + 7w2 + w3 = 0

Solving
-72 + -6w + 7w2 + 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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