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Simplifying w(w + 4) = (w + 3)(w + 4) Reorder the terms: w(4 + w) = (w + 3)(w + 4) (4 * w + w * w) = (w + 3)(w + 4) (4w + w2) = (w + 3)(w + 4) Reorder the terms: 4w + w2 = (3 + w)(w + 4) Reorder the terms: 4w + w2 = (3 + w)(4 + w) Multiply (3 + w) * (4 + w) 4w + w2 = (3(4 + w) + w(4 + w)) 4w + w2 = ((4 * 3 + w * 3) + w(4 + w)) 4w + w2 = ((12 + 3w) + w(4 + w)) 4w + w2 = (12 + 3w + (4 * w + w * w)) 4w + w2 = (12 + 3w + (4w + w2)) Combine like terms: 3w + 4w = 7w 4w + w2 = (12 + 7w + w2) Add '-1w2' to each side of the equation. 4w + w2 + -1w2 = 12 + 7w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 4w + 0 = 12 + 7w + w2 + -1w2 4w = 12 + 7w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 4w = 12 + 7w + 0 4w = 12 + 7w Solving 4w = 12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 4w + -7w = 12 + 7w + -7w Combine like terms: 4w + -7w = -3w -3w = 12 + 7w + -7w Combine like terms: 7w + -7w = 0 -3w = 12 + 0 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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