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Simplifying 12a(-6a + -9) = 0 Reorder the terms: 12a(-9 + -6a) = 0 (-9 * 12a + -6a * 12a) = 0 (-108a + -72a2) = 0 Solving -108a + -72a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-36a'. -36a(3 + 2a) = 0 Ignore the factor -36.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(3 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 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 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Solution
a = {0, -1.5}
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