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Simplifying -6a2 + -10a + 16 = 0 Reorder the terms: 16 + -10a + -6a2 = 0 Solving 16 + -10a + -6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -5a + -3a2) = 0 Factor a trinomial. 2((1 + -1a)(8 + 3a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 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 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Subproblem 2
Set the factor '(8 + 3a)' equal to zero and attempt to solve: Simplifying 8 + 3a = 0 Solving 8 + 3a = 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 + 3a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 0 + -8 3a = 0 + -8 Combine like terms: 0 + -8 = -8 3a = -8 Divide each side by '3'. a = -2.666666667 Simplifying a = -2.666666667Solution
a = {1, -2.666666667}
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