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Simplifying a2 + 42a + 432 = 0 Reorder the terms: 432 + 42a + a2 = 0 Solving 432 + 42a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (24 + a)(18 + 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 '(18 + a)' equal to zero and attempt to solve: Simplifying 18 + a = 0 Solving 18 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + a = 0 + -18 a = 0 + -18 Combine like terms: 0 + -18 = -18 a = -18 Simplifying a = -18Solution
a = {-24, -18}
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