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Simplifying a(a) + 14a = -45 Multiply a * a a2 + 14a = -45 Reorder the terms: 14a + a2 = -45 Solving 14a + a2 = -45 Solving for variable 'a'. Reorder the terms: 45 + 14a + a2 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + 14a + a2 = 0 Factor a trinomial. (9 + a)(5 + a) = 0Subproblem 1
Set the factor '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Solution
a = {-9, -5}
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