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Simplifying (p + -9)(p + 9) = 0 Reorder the terms: (-9 + p)(p + 9) = 0 Reorder the terms: (-9 + p)(9 + p) = 0 Multiply (-9 + p) * (9 + p) (-9(9 + p) + p(9 + p)) = 0 ((9 * -9 + p * -9) + p(9 + p)) = 0 ((-81 + -9p) + p(9 + p)) = 0 (-81 + -9p + (9 * p + p * p)) = 0 (-81 + -9p + (9p + p2)) = 0 Combine like terms: -9p + 9p = 0 (-81 + 0 + p2) = 0 (-81 + p2) = 0 Solving -81 + p2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + p2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + p2 = 0 + 81 p2 = 0 + 81 Combine like terms: 0 + 81 = 81 p2 = 81 Simplifying p2 = 81 Take the square root of each side: p = {-9, 9}
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