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Simplifying (w + -10)(w + 10) = 0 Reorder the terms: (-10 + w)(w + 10) = 0 Reorder the terms: (-10 + w)(10 + w) = 0 Multiply (-10 + w) * (10 + w) (-10(10 + w) + w(10 + w)) = 0 ((10 * -10 + w * -10) + w(10 + w)) = 0 ((-100 + -10w) + w(10 + w)) = 0 (-100 + -10w + (10 * w + w * w)) = 0 (-100 + -10w + (10w + w2)) = 0 Combine like terms: -10w + 10w = 0 (-100 + 0 + w2) = 0 (-100 + w2) = 0 Solving -100 + w2 = 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 + w2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + w2 = 0 + 100 w2 = 0 + 100 Combine like terms: 0 + 100 = 100 w2 = 100 Simplifying w2 = 100 Take the square root of each side: w = {-10, 10}
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