(3w+24)(w^2-5w+4)=0

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Solution for (3w+24)(w^2-5w+4)=0 equation:


Simplifying
(3w + 24)(w2 + -5w + 4) = 0

Reorder the terms:
(24 + 3w)(w2 + -5w + 4) = 0

Reorder the terms:
(24 + 3w)(4 + -5w + w2) = 0

Multiply (24 + 3w) * (4 + -5w + w2)
(24(4 + -5w + w2) + 3w * (4 + -5w + w2)) = 0
((4 * 24 + -5w * 24 + w2 * 24) + 3w * (4 + -5w + w2)) = 0
((96 + -120w + 24w2) + 3w * (4 + -5w + w2)) = 0
(96 + -120w + 24w2 + (4 * 3w + -5w * 3w + w2 * 3w)) = 0
(96 + -120w + 24w2 + (12w + -15w2 + 3w3)) = 0

Reorder the terms:
(96 + -120w + 12w + 24w2 + -15w2 + 3w3) = 0

Combine like terms: -120w + 12w = -108w
(96 + -108w + 24w2 + -15w2 + 3w3) = 0

Combine like terms: 24w2 + -15w2 = 9w2
(96 + -108w + 9w2 + 3w3) = 0

Solving
96 + -108w + 9w2 + 3w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(32 + -36w + 3w2 + w3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(32 + -36w + 3w2 + w3)' equal to zero and attempt to solve: Simplifying 32 + -36w + 3w2 + w3 = 0 Solving 32 + -36w + 3w2 + 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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