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Simplifying (w + 9)(w + -9) = 0 Reorder the terms: (9 + w)(w + -9) = 0 Reorder the terms: (9 + w)(-9 + w) = 0 Multiply (9 + w) * (-9 + w) (9(-9 + w) + w(-9 + w)) = 0 ((-9 * 9 + w * 9) + w(-9 + w)) = 0 ((-81 + 9w) + w(-9 + w)) = 0 (-81 + 9w + (-9 * w + w * w)) = 0 (-81 + 9w + (-9w + w2)) = 0 Combine like terms: 9w + -9w = 0 (-81 + 0 + w2) = 0 (-81 + w2) = 0 Solving -81 + w2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + w2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + w2 = 0 + 81 w2 = 0 + 81 Combine like terms: 0 + 81 = 81 w2 = 81 Simplifying w2 = 81 Take the square root of each side: w = {-9, 9}
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