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Simplifying -62a + -36 = 12a2 Reorder the terms: -36 + -62a = 12a2 Solving -36 + -62a = 12a2 Solving for variable 'a'. Combine like terms: 12a2 + -12a2 = 0 -36 + -62a + -12a2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(18 + 31a + 6a2) = 0 Factor a trinomial. -2((9 + 2a)(2 + 3a)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(9 + 2a)' equal to zero and attempt to solve: Simplifying 9 + 2a = 0 Solving 9 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = 0 + -9 2a = 0 + -9 Combine like terms: 0 + -9 = -9 2a = -9 Divide each side by '2'. a = -4.5 Simplifying a = -4.5Subproblem 2
Set the factor '(2 + 3a)' equal to zero and attempt to solve: Simplifying 2 + 3a = 0 Solving 2 + 3a = 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 + 3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 0 + -2 3a = 0 + -2 Combine like terms: 0 + -2 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667Solution
a = {-4.5, -0.6666666667}
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