(w^2-6w-7)(4w+24)=0

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Solution for (w^2-6w-7)(4w+24)=0 equation:


Simplifying
(w2 + -6w + -7)(4w + 24) = 0

Reorder the terms:
(-7 + -6w + w2)(4w + 24) = 0

Reorder the terms:
(-7 + -6w + w2)(24 + 4w) = 0

Multiply (-7 + -6w + w2) * (24 + 4w)
(-7(24 + 4w) + -6w * (24 + 4w) + w2(24 + 4w)) = 0
((24 * -7 + 4w * -7) + -6w * (24 + 4w) + w2(24 + 4w)) = 0
((-168 + -28w) + -6w * (24 + 4w) + w2(24 + 4w)) = 0
(-168 + -28w + (24 * -6w + 4w * -6w) + w2(24 + 4w)) = 0
(-168 + -28w + (-144w + -24w2) + w2(24 + 4w)) = 0
(-168 + -28w + -144w + -24w2 + (24 * w2 + 4w * w2)) = 0
(-168 + -28w + -144w + -24w2 + (24w2 + 4w3)) = 0

Combine like terms: -28w + -144w = -172w
(-168 + -172w + -24w2 + 24w2 + 4w3) = 0

Combine like terms: -24w2 + 24w2 = 0
(-168 + -172w + 0 + 4w3) = 0
(-168 + -172w + 4w3) = 0

Solving
-168 + -172w + 4w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-42 + -43w + w3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-42 + -43w + w3)' equal to zero and attempt to solve: Simplifying -42 + -43w + w3 = 0 Solving -42 + -43w + 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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