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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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