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Simplifying (3 + a)(3 + -1a) = 0 Multiply (3 + a) * (3 + -1a) (3(3 + -1a) + a(3 + -1a)) = 0 ((3 * 3 + -1a * 3) + a(3 + -1a)) = 0 ((9 + -3a) + a(3 + -1a)) = 0 (9 + -3a + (3 * a + -1a * a)) = 0 (9 + -3a + (3a + -1a2)) = 0 Combine like terms: -3a + 3a = 0 (9 + 0 + -1a2) = 0 (9 + -1a2) = 0 Solving 9 + -1a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1a2 = 0 + -9 -1a2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1a2 = -9 Divide each side by '-1'. a2 = 9 Simplifying a2 = 9 Take the square root of each side: a = {-3, 3}
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