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Simplifying 2a2 + 13a + 18 = 0 Reorder the terms: 18 + 13a + 2a2 = 0 Solving 18 + 13a + 2a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + 2a)(2 + a) = 0Subproblem 1
Set the factor '(9 + 2a)' equal to zero and attempt to solve: Simplifying 9 + 2a = 0 Solving 9 + 2a = 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 + 2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = 0 + -9 2a = 0 + -9 Combine like terms: 0 + -9 = -9 2a = -9 Divide each side by '2'. a = -4.5 Simplifying a = -4.5Subproblem 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 = {-4.5, -2}
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