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Simplifying (w)(w + -1) * w + -22 = (w + 5)(w + -5) Reorder the terms: w(-1 + w) * w + -22 = (w + 5)(w + -5) Reorder the terms for easier multiplication: w * w(-1 + w) + -22 = (w + 5)(w + -5) Multiply w * w w2(-1 + w) + -22 = (w + 5)(w + -5) (-1 * w2 + w * w2) + -22 = (w + 5)(w + -5) (-1w2 + w3) + -22 = (w + 5)(w + -5) Reorder the terms: -22 + -1w2 + w3 = (w + 5)(w + -5) Reorder the terms: -22 + -1w2 + w3 = (5 + w)(w + -5) Reorder the terms: -22 + -1w2 + w3 = (5 + w)(-5 + w) Multiply (5 + w) * (-5 + w) -22 + -1w2 + w3 = (5(-5 + w) + w(-5 + w)) -22 + -1w2 + w3 = ((-5 * 5 + w * 5) + w(-5 + w)) -22 + -1w2 + w3 = ((-25 + 5w) + w(-5 + w)) -22 + -1w2 + w3 = (-25 + 5w + (-5 * w + w * w)) -22 + -1w2 + w3 = (-25 + 5w + (-5w + w2)) Combine like terms: 5w + -5w = 0 -22 + -1w2 + w3 = (-25 + 0 + w2) -22 + -1w2 + w3 = (-25 + w2) Solving -22 + -1w2 + w3 = -25 + w2 Solving for variable 'w'. Reorder the terms: -22 + 25 + -1w2 + -1w2 + w3 = -25 + w2 + 25 + -1w2 Combine like terms: -22 + 25 = 3 3 + -1w2 + -1w2 + w3 = -25 + w2 + 25 + -1w2 Combine like terms: -1w2 + -1w2 = -2w2 3 + -2w2 + w3 = -25 + w2 + 25 + -1w2 Reorder the terms: 3 + -2w2 + w3 = -25 + 25 + w2 + -1w2 Combine like terms: -25 + 25 = 0 3 + -2w2 + w3 = 0 + w2 + -1w2 3 + -2w2 + w3 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 3 + -2w2 + w3 = 0 The solution to this equation could not be determined.
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