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Simplifying 8a2 = -28a + -20 Reorder the terms: 8a2 = -20 + -28a Solving 8a2 = -20 + -28a Solving for variable 'a'. Reorder the terms: 20 + 28a + 8a2 = -20 + -28a + 20 + 28a Reorder the terms: 20 + 28a + 8a2 = -20 + 20 + -28a + 28a Combine like terms: -20 + 20 = 0 20 + 28a + 8a2 = 0 + -28a + 28a 20 + 28a + 8a2 = -28a + 28a Combine like terms: -28a + 28a = 0 20 + 28a + 8a2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(5 + 7a + 2a2) = 0 Factor a trinomial. 4((5 + 2a)(1 + a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + 2a)' equal to zero and attempt to solve: Simplifying 5 + 2a = 0 Solving 5 + 2a = 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 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5Subproblem 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 = {-2.5, -1}
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