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Simplifying 4a2 + 16a + -40 = 8 Reorder the terms: -40 + 16a + 4a2 = 8 Solving -40 + 16a + 4a2 = 8 Solving for variable 'a'. Reorder the terms: -40 + -8 + 16a + 4a2 = 8 + -8 Combine like terms: -40 + -8 = -48 -48 + 16a + 4a2 = 8 + -8 Combine like terms: 8 + -8 = 0 -48 + 16a + 4a2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + 4a + a2) = 0 Factor a trinomial. 4((-6 + -1a)(2 + -1a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + -1a)' equal to zero and attempt to solve: Simplifying -6 + -1a = 0 Solving -6 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = 0 + 6 -1a = 0 + 6 Combine like terms: 0 + 6 = 6 -1a = 6 Divide each side by '-1'. a = -6 Simplifying a = -6Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {-6, 2}
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