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Simplifying -2a2 + 22a + -48 = 0 Reorder the terms: -48 + 22a + -2a2 = 0 Solving -48 + 22a + -2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 11a + -1a2) = 0 Factor a trinomial. 2((-8 + a)(3 + -1a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + a)' equal to zero and attempt to solve: Simplifying -8 + a = 0 Solving -8 + a = 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 + a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + a = 0 + 8 a = 0 + 8 Combine like terms: 0 + 8 = 8 a = 8 Simplifying a = 8Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 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 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {8, 3}
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