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Simplifying 3w(w2 + -10w + 24) = 15(w + -4) Reorder the terms: 3w(24 + -10w + w2) = 15(w + -4) (24 * 3w + -10w * 3w + w2 * 3w) = 15(w + -4) (72w + -30w2 + 3w3) = 15(w + -4) Reorder the terms: 72w + -30w2 + 3w3 = 15(-4 + w) 72w + -30w2 + 3w3 = (-4 * 15 + w * 15) 72w + -30w2 + 3w3 = (-60 + 15w) Solving 72w + -30w2 + 3w3 = -60 + 15w Solving for variable 'w'. Reorder the terms: 60 + 72w + -15w + -30w2 + 3w3 = -60 + 15w + 60 + -15w Combine like terms: 72w + -15w = 57w 60 + 57w + -30w2 + 3w3 = -60 + 15w + 60 + -15w Reorder the terms: 60 + 57w + -30w2 + 3w3 = -60 + 60 + 15w + -15w Combine like terms: -60 + 60 = 0 60 + 57w + -30w2 + 3w3 = 0 + 15w + -15w 60 + 57w + -30w2 + 3w3 = 15w + -15w Combine like terms: 15w + -15w = 0 60 + 57w + -30w2 + 3w3 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(20 + 19w + -10w2 + w3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(20 + 19w + -10w2 + w3)' equal to zero and attempt to solve: Simplifying 20 + 19w + -10w2 + w3 = 0 Solving 20 + 19w + -10w2 + 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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