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Simplifying (a + -12)(a + 12) = 0 Reorder the terms: (-12 + a)(a + 12) = 0 Reorder the terms: (-12 + a)(12 + a) = 0 Multiply (-12 + a) * (12 + a) (-12(12 + a) + a(12 + a)) = 0 ((12 * -12 + a * -12) + a(12 + a)) = 0 ((-144 + -12a) + a(12 + a)) = 0 (-144 + -12a + (12 * a + a * a)) = 0 (-144 + -12a + (12a + a2)) = 0 Combine like terms: -12a + 12a = 0 (-144 + 0 + a2) = 0 (-144 + a2) = 0 Solving -144 + a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + a2 = 0 + 144 Combine like terms: -144 + 144 = 0 0 + a2 = 0 + 144 a2 = 0 + 144 Combine like terms: 0 + 144 = 144 a2 = 144 Simplifying a2 = 144 Take the square root of each side: a = {-12, 12}
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