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Simplifying (m + 8)(m + -8) = 0 Reorder the terms: (8 + m)(m + -8) = 0 Reorder the terms: (8 + m)(-8 + m) = 0 Multiply (8 + m) * (-8 + m) (8(-8 + m) + m(-8 + m)) = 0 ((-8 * 8 + m * 8) + m(-8 + m)) = 0 ((-64 + 8m) + m(-8 + m)) = 0 (-64 + 8m + (-8 * m + m * m)) = 0 (-64 + 8m + (-8m + m2)) = 0 Combine like terms: 8m + -8m = 0 (-64 + 0 + m2) = 0 (-64 + m2) = 0 Solving -64 + m2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + m2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + m2 = 0 + 64 m2 = 0 + 64 Combine like terms: 0 + 64 = 64 m2 = 64 Simplifying m2 = 64 Take the square root of each side: m = {-8, 8}
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