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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 = 24a (144 + 24a + a2) = 0 Solving 144 + 24a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (12 + a)(12 + a) = 0Subproblem 1
Set the factor '(12 + a)' equal to zero and attempt to solve: Simplifying 12 + a = 0 Solving 12 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + a = 0 + -12 a = 0 + -12 Combine like terms: 0 + -12 = -12 a = -12 Simplifying a = -12Subproblem 2
Set the factor '(12 + a)' equal to zero and attempt to solve: Simplifying 12 + a = 0 Solving 12 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + a = 0 + -12 a = 0 + -12 Combine like terms: 0 + -12 = -12 a = -12 Simplifying a = -12Solution
a = {-12, -12}
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