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Simplifying (6 + -1w)(6 + w) = 0 Multiply (6 + -1w) * (6 + w) (6(6 + w) + -1w * (6 + w)) = 0 ((6 * 6 + w * 6) + -1w * (6 + w)) = 0 ((36 + 6w) + -1w * (6 + w)) = 0 (36 + 6w + (6 * -1w + w * -1w)) = 0 (36 + 6w + (-6w + -1w2)) = 0 Combine like terms: 6w + -6w = 0 (36 + 0 + -1w2) = 0 (36 + -1w2) = 0 Solving 36 + -1w2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1w2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1w2 = 0 + -36 -1w2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1w2 = -36 Divide each side by '-1'. w2 = 36 Simplifying w2 = 36 Take the square root of each side: w = {-6, 6}
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