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Simplifying 10a2 + -16a + -8 = 0 Reorder the terms: -8 + -16a + 10a2 = 0 Solving -8 + -16a + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -8a + 5a2) = 0 Factor a trinomial. 2((-2 + -5a)(2 + -1a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -5a)' equal to zero and attempt to solve: Simplifying -2 + -5a = 0 Solving -2 + -5a = 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 + -5a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = 0 + 2 -5a = 0 + 2 Combine like terms: 0 + 2 = 2 -5a = 2 Divide each side by '-5'. a = -0.4 Simplifying a = -0.4Subproblem 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 = {-0.4, 2}
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