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Simplifying (3w + 24)(w2 + -1w + -6) = 0 Reorder the terms: (24 + 3w)(w2 + -1w + -6) = 0 Reorder the terms: (24 + 3w)(-6 + -1w + w2) = 0 Multiply (24 + 3w) * (-6 + -1w + w2) (24(-6 + -1w + w2) + 3w * (-6 + -1w + w2)) = 0 ((-6 * 24 + -1w * 24 + w2 * 24) + 3w * (-6 + -1w + w2)) = 0 ((-144 + -24w + 24w2) + 3w * (-6 + -1w + w2)) = 0 (-144 + -24w + 24w2 + (-6 * 3w + -1w * 3w + w2 * 3w)) = 0 (-144 + -24w + 24w2 + (-18w + -3w2 + 3w3)) = 0 Reorder the terms: (-144 + -24w + -18w + 24w2 + -3w2 + 3w3) = 0 Combine like terms: -24w + -18w = -42w (-144 + -42w + 24w2 + -3w2 + 3w3) = 0 Combine like terms: 24w2 + -3w2 = 21w2 (-144 + -42w + 21w2 + 3w3) = 0 Solving -144 + -42w + 21w2 + 3w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3'. 3(-48 + -14w + 7w2 + w3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-48 + -14w + 7w2 + w3)' equal to zero and attempt to solve: Simplifying -48 + -14w + 7w2 + w3 = 0 Solving -48 + -14w + 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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