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Simplifying (w + -6)(w + 6) = 0 Reorder the terms: (-6 + w)(w + 6) = 0 Reorder the terms: (-6 + w)(6 + w) = 0 Multiply (-6 + w) * (6 + w) (-6(6 + w) + w(6 + w)) = 0 ((6 * -6 + w * -6) + w(6 + w)) = 0 ((-36 + -6w) + w(6 + w)) = 0 (-36 + -6w + (6 * w + w * w)) = 0 (-36 + -6w + (6w + w2)) = 0 Combine like terms: -6w + 6w = 0 (-36 + 0 + w2) = 0 (-36 + w2) = 0 Solving -36 + w2 = 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 + w2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + w2 = 0 + 36 w2 = 0 + 36 Combine like terms: 0 + 36 = 36 w2 = 36 Simplifying w2 = 36 Take the square root of each side: w = {-6, 6}
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