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Simplifying w(w + 4) = w2 + -5w + 16 Reorder the terms: w(4 + w) = w2 + -5w + 16 (4 * w + w * w) = w2 + -5w + 16 (4w + w2) = w2 + -5w + 16 Reorder the terms: 4w + w2 = 16 + -5w + w2 Add '-1w2' to each side of the equation. 4w + w2 + -1w2 = 16 + -5w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 4w + 0 = 16 + -5w + w2 + -1w2 4w = 16 + -5w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 4w = 16 + -5w + 0 4w = 16 + -5w Solving 4w = 16 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 4w + 5w = 16 + -5w + 5w Combine like terms: 4w + 5w = 9w 9w = 16 + -5w + 5w Combine like terms: -5w + 5w = 0 9w = 16 + 0 9w = 16 Divide each side by '9'. w = 1.777777778 Simplifying w = 1.777777778
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