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Simplifying -6a(a + 3) = 0 Reorder the terms: -6a(3 + a) = 0 (3 * -6a + a * -6a) = 0 (-18a + -6a2) = 0 Solving -18a + -6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-6a'. -6a(3 + a) = 0 Ignore the factor -6.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 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 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 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Solution
a = {0, -3}
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