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Simplifying (10 + w)(10 + -1w) = 0 Multiply (10 + w) * (10 + -1w) (10(10 + -1w) + w(10 + -1w)) = 0 ((10 * 10 + -1w * 10) + w(10 + -1w)) = 0 ((100 + -10w) + w(10 + -1w)) = 0 (100 + -10w + (10 * w + -1w * w)) = 0 (100 + -10w + (10w + -1w2)) = 0 Combine like terms: -10w + 10w = 0 (100 + 0 + -1w2) = 0 (100 + -1w2) = 0 Solving 100 + -1w2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1w2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1w2 = 0 + -100 -1w2 = 0 + -100 Combine like terms: 0 + -100 = -100 -1w2 = -100 Divide each side by '-1'. w2 = 100 Simplifying w2 = 100 Take the square root of each side: w = {-10, 10}
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