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Simplifying a2 + 27a + 72 = 0 Reorder the terms: 72 + 27a + a2 = 0 Solving 72 + 27a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (24 + a)(3 + a) = 0Subproblem 1
Set the factor '(24 + a)' equal to zero and attempt to solve: Simplifying 24 + a = 0 Solving 24 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + a = 0 + -24 a = 0 + -24 Combine like terms: 0 + -24 = -24 a = -24 Simplifying a = -24Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Solution
a = {-24, -3}
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