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Simplifying 5a2 + 30a + 33 = 8 Reorder the terms: 33 + 30a + 5a2 = 8 Solving 33 + 30a + 5a2 = 8 Solving for variable 'a'. Reorder the terms: 33 + -8 + 30a + 5a2 = 8 + -8 Combine like terms: 33 + -8 = 25 25 + 30a + 5a2 = 8 + -8 Combine like terms: 8 + -8 = 0 25 + 30a + 5a2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5 + 6a + a2) = 0 Factor a trinomial. 5((5 + a)(1 + a)) = 0 Ignore the factor 5.Subproblem 1
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 = -5Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Solution
a = {-5, -1}
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