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Simplifying 3a2 + 81 = 36a Reorder the terms: 81 + 3a2 = 36a Solving 81 + 3a2 = 36a Solving for variable 'a'. Reorder the terms: 81 + -36a + 3a2 = 36a + -36a Combine like terms: 36a + -36a = 0 81 + -36a + 3a2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(27 + -12a + a2) = 0 Factor a trinomial. 3((3 + -1a)(9 + -1a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Subproblem 2
Set the factor '(9 + -1a)' equal to zero and attempt to solve: Simplifying 9 + -1a = 0 Solving 9 + -1a = 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 + -1a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 0 + -9 -1a = 0 + -9 Combine like terms: 0 + -9 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9Solution
a = {3, 9}
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