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Simplifying 1152 = w(2w + 4)(18 + -1w) Reorder the terms: 1152 = w(4 + 2w)(18 + -1w) Multiply (4 + 2w) * (18 + -1w) 1152 = w(4(18 + -1w) + 2w * (18 + -1w)) 1152 = w((18 * 4 + -1w * 4) + 2w * (18 + -1w)) 1152 = w((72 + -4w) + 2w * (18 + -1w)) 1152 = w(72 + -4w + (18 * 2w + -1w * 2w)) 1152 = w(72 + -4w + (36w + -2w2)) Combine like terms: -4w + 36w = 32w 1152 = w(72 + 32w + -2w2) 1152 = (72 * w + 32w * w + -2w2 * w) 1152 = (72w + 32w2 + -2w3) Solving 1152 = 72w + 32w2 + -2w3 Solving for variable 'w'. Reorder the terms: 1152 + -72w + -32w2 + 2w3 = 72w + -72w + 32w2 + -32w2 + -2w3 + 2w3 Combine like terms: 72w + -72w = 0 1152 + -72w + -32w2 + 2w3 = 0 + 32w2 + -32w2 + -2w3 + 2w3 1152 + -72w + -32w2 + 2w3 = 32w2 + -32w2 + -2w3 + 2w3 Combine like terms: 32w2 + -32w2 = 0 1152 + -72w + -32w2 + 2w3 = 0 + -2w3 + 2w3 1152 + -72w + -32w2 + 2w3 = -2w3 + 2w3 Combine like terms: -2w3 + 2w3 = 0 1152 + -72w + -32w2 + 2w3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(576 + -36w + -16w2 + w3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(576 + -36w + -16w2 + w3)' equal to zero and attempt to solve: Simplifying 576 + -36w + -16w2 + w3 = 0 Solving 576 + -36w + -16w2 + 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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