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Simplifying (w + -5)(w + 5) = 0 Reorder the terms: (-5 + w)(w + 5) = 0 Reorder the terms: (-5 + w)(5 + w) = 0 Multiply (-5 + w) * (5 + w) (-5(5 + w) + w(5 + w)) = 0 ((5 * -5 + w * -5) + w(5 + w)) = 0 ((-25 + -5w) + w(5 + w)) = 0 (-25 + -5w + (5 * w + w * w)) = 0 (-25 + -5w + (5w + w2)) = 0 Combine like terms: -5w + 5w = 0 (-25 + 0 + w2) = 0 (-25 + w2) = 0 Solving -25 + w2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + w2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + w2 = 0 + 25 w2 = 0 + 25 Combine like terms: 0 + 25 = 25 w2 = 25 Simplifying w2 = 25 Take the square root of each side: w = {-5, 5}
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