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Simplifying -3a(a + 6) = 0 Reorder the terms: -3a(6 + a) = 0 (6 * -3a + a * -3a) = 0 (-18a + -3a2) = 0 Solving -18a + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-3a'. -3a(6 + a) = 0 Ignore the factor -3.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 '(6 + a)' equal to zero and attempt to solve: Simplifying 6 + a = 0 Solving 6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + a = 0 + -6 a = 0 + -6 Combine like terms: 0 + -6 = -6 a = -6 Simplifying a = -6Solution
a = {0, -6}
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