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Simplifying (p + 8)(p + -8) = 0 Reorder the terms: (8 + p)(p + -8) = 0 Reorder the terms: (8 + p)(-8 + p) = 0 Multiply (8 + p) * (-8 + p) (8(-8 + p) + p(-8 + p)) = 0 ((-8 * 8 + p * 8) + p(-8 + p)) = 0 ((-64 + 8p) + p(-8 + p)) = 0 (-64 + 8p + (-8 * p + p * p)) = 0 (-64 + 8p + (-8p + p2)) = 0 Combine like terms: 8p + -8p = 0 (-64 + 0 + p2) = 0 (-64 + p2) = 0 Solving -64 + p2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + p2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + p2 = 0 + 64 p2 = 0 + 64 Combine like terms: 0 + 64 = 64 p2 = 64 Simplifying p2 = 64 Take the square root of each side: p = {-8, 8}
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