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Simplifying a2 + 14a + 15 = -9 Reorder the terms: 15 + 14a + a2 = -9 Solving 15 + 14a + a2 = -9 Solving for variable 'a'. Reorder the terms: 15 + 9 + 14a + a2 = -9 + 9 Combine like terms: 15 + 9 = 24 24 + 14a + a2 = -9 + 9 Combine like terms: -9 + 9 = 0 24 + 14a + a2 = 0 Factor a trinomial. (12 + a)(2 + 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 '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {-12, -2}
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