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Simplifying 3(a + 15) * a = 0 Reorder the terms: 3(15 + a) * a = 0 Reorder the terms for easier multiplication: 3a(15 + a) = 0 (15 * 3a + a * 3a) = 0 (45a + 3a2) = 0 Solving 45a + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(15 + 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 '(15 + a)' equal to zero and attempt to solve: Simplifying 15 + a = 0 Solving 15 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + a = 0 + -15 a = 0 + -15 Combine like terms: 0 + -15 = -15 a = -15 Simplifying a = -15Solution
a = {0, -15}
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