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Simplifying 3a2 + 20a + 32 = 0 Reorder the terms: 32 + 20a + 3a2 = 0 Solving 32 + 20a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + a)(8 + 3a) = 0Subproblem 1
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Subproblem 2
Set the factor '(8 + 3a)' equal to zero and attempt to solve: Simplifying 8 + 3a = 0 Solving 8 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 0 + -8 3a = 0 + -8 Combine like terms: 0 + -8 = -8 3a = -8 Divide each side by '3'. a = -2.666666667 Simplifying a = -2.666666667Solution
a = {-4, -2.666666667}
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