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Simplifying (w + -1)(w + 1) = w(w + -4) Reorder the terms: (-1 + w)(w + 1) = w(w + -4) Reorder the terms: (-1 + w)(1 + w) = w(w + -4) Multiply (-1 + w) * (1 + w) (-1(1 + w) + w(1 + w)) = w(w + -4) ((1 * -1 + w * -1) + w(1 + w)) = w(w + -4) ((-1 + -1w) + w(1 + w)) = w(w + -4) (-1 + -1w + (1 * w + w * w)) = w(w + -4) (-1 + -1w + (1w + w2)) = w(w + -4) Combine like terms: -1w + 1w = 0 (-1 + 0 + w2) = w(w + -4) (-1 + w2) = w(w + -4) Reorder the terms: -1 + w2 = w(-4 + w) -1 + w2 = (-4 * w + w * w) -1 + w2 = (-4w + w2) Add '-1w2' to each side of the equation. -1 + w2 + -1w2 = -4w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -1 + 0 = -4w + w2 + -1w2 -1 = -4w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -1 = -4w + 0 -1 = -4w Solving -1 = -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -1 + 4w = -4w + 4w Combine like terms: -4w + 4w = 0 -1 + 4w = 0 Add '1' to each side of the equation. -1 + 1 + 4w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4w = 0 + 1 4w = 0 + 1 Combine like terms: 0 + 1 = 1 4w = 1 Divide each side by '4'. w = 0.25 Simplifying w = 0.25
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