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Simplifying (W + 9)(W + 4) + -1[w(w + 5)] = 100 Reorder the terms: (9 + W)(W + 4) + -1[w(w + 5)] = 100 Reorder the terms: (9 + W)(4 + W) + -1[w(w + 5)] = 100 Multiply (9 + W) * (4 + W) (9(4 + W) + W(4 + W)) + -1[w(w + 5)] = 100 ((4 * 9 + W * 9) + W(4 + W)) + -1[w(w + 5)] = 100 ((36 + 9W) + W(4 + W)) + -1[w(w + 5)] = 100 (36 + 9W + (4 * W + W * W)) + -1[w(w + 5)] = 100 (36 + 9W + (4W + W2)) + -1[w(w + 5)] = 100 Combine like terms: 9W + 4W = 13W (36 + 13W + W2) + -1[w(w + 5)] = 100 Reorder the terms: 36 + 13W + W2 + -1[w(5 + w)] = 100 36 + 13W + W2 + -1[(5 * w + w * w)] = 100 36 + 13W + W2 + -1[(5w + w2)] = 100 36 + 13W + W2 + [5w * -1 + w2 * -1] = 100 36 + 13W + W2 + [-5w + -1w2] = 100 Solving 36 + 13W + W2 + -5w + -1w2 = 100 Solving for variable 'W'. Reorder the terms: 36 + -100 + 13W + W2 + -5w + -1w2 = 100 + -100 Combine like terms: 36 + -100 = -64 -64 + 13W + W2 + -5w + -1w2 = 100 + -100 Combine like terms: 100 + -100 = 0 -64 + 13W + W2 + -5w + -1w2 = 0 The solution to this equation could not be determined.
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