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Simplifying -3a2 + -39a + -90 = 0 Reorder the terms: -90 + -39a + -3a2 = 0 Solving -90 + -39a + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-3'. -3(30 + 13a + a2) = 0 Factor a trinomial. -3((10 + a)(3 + a)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(10 + a)' equal to zero and attempt to solve: Simplifying 10 + a = 0 Solving 10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + a = 0 + -10 a = 0 + -10 Combine like terms: 0 + -10 = -10 a = -10 Simplifying a = -10Subproblem 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 = {-10, -3}
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