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Simplifying (15a2) + (9a3) = 0 Solving (15a2) + (9a3) = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a2'. 3a2(5 + (3a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(5 + (3a))' equal to zero and attempt to solve: Simplifying 5 + (3a) = 0 Solving 5 + (3a) = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + (3a) = 0 + -5 Combine like terms: 5 + -5 = 0 0 + (3a) = 0 + -5 (3a) = 0 + -5 Combine like terms: 0 + -5 = -5 (3a) = -5 Divide each side by '3'. a = -1.666666667 Simplifying a = -1.666666667Solution
a = {0, -1.666666667}
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