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Simplifying (a + 9)(a + -9) = 0 Reorder the terms: (9 + a)(a + -9) = 0 Reorder the terms: (9 + a)(-9 + a) = 0 Multiply (9 + a) * (-9 + a) (9(-9 + a) + a(-9 + a)) = 0 ((-9 * 9 + a * 9) + a(-9 + a)) = 0 ((-81 + 9a) + a(-9 + a)) = 0 (-81 + 9a + (-9 * a + a * a)) = 0 (-81 + 9a + (-9a + a2)) = 0 Combine like terms: 9a + -9a = 0 (-81 + 0 + a2) = 0 (-81 + a2) = 0 Solving -81 + a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + a2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + a2 = 0 + 81 a2 = 0 + 81 Combine like terms: 0 + 81 = 81 a2 = 81 Simplifying a2 = 81 Take the square root of each side: a = {-9, 9}
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