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Simplifying 16a2 + -36a + -10 = 0 Reorder the terms: -10 + -36a + 16a2 = 0 Solving -10 + -36a + 16a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -18a + 8a2) = 0 Factor a trinomial. 2((-1 + -4a)(5 + -2a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -4a)' equal to zero and attempt to solve: Simplifying -1 + -4a = 0 Solving -1 + -4a = 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 + -4a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4a = 0 + 1 -4a = 0 + 1 Combine like terms: 0 + 1 = 1 -4a = 1 Divide each side by '-4'. a = -0.25 Simplifying a = -0.25Subproblem 2
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 = 2.5Solution
a = {-0.25, 2.5}
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