(w^2+7w+12)(4w-20)=0

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Solution for (w^2+7w+12)(4w-20)=0 equation:


Simplifying
(w2 + 7w + 12)(4w + -20) = 0

Reorder the terms:
(12 + 7w + w2)(4w + -20) = 0

Reorder the terms:
(12 + 7w + w2)(-20 + 4w) = 0

Multiply (12 + 7w + w2) * (-20 + 4w)
(12(-20 + 4w) + 7w * (-20 + 4w) + w2(-20 + 4w)) = 0
((-20 * 12 + 4w * 12) + 7w * (-20 + 4w) + w2(-20 + 4w)) = 0
((-240 + 48w) + 7w * (-20 + 4w) + w2(-20 + 4w)) = 0
(-240 + 48w + (-20 * 7w + 4w * 7w) + w2(-20 + 4w)) = 0
(-240 + 48w + (-140w + 28w2) + w2(-20 + 4w)) = 0
(-240 + 48w + -140w + 28w2 + (-20 * w2 + 4w * w2)) = 0
(-240 + 48w + -140w + 28w2 + (-20w2 + 4w3)) = 0

Combine like terms: 48w + -140w = -92w
(-240 + -92w + 28w2 + -20w2 + 4w3) = 0

Combine like terms: 28w2 + -20w2 = 8w2
(-240 + -92w + 8w2 + 4w3) = 0

Solving
-240 + -92w + 8w2 + 4w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-60 + -23w + 2w2 + w3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-60 + -23w + 2w2 + w3)' equal to zero and attempt to solve: Simplifying -60 + -23w + 2w2 + w3 = 0 Solving -60 + -23w + 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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