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Simplifying 16a3 + 30a2 + -4a3 = 0 Reorder the terms: 30a2 + 16a3 + -4a3 = 0 Combine like terms: 16a3 + -4a3 = 12a3 30a2 + 12a3 = 0 Solving 30a2 + 12a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a2'. 6a2(5 + 2a) = 0 Ignore the factor 6.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 + 2a)' equal to zero and attempt to solve: Simplifying 5 + 2a = 0 Solving 5 + 2a = 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 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5Solution
a = {0, -2.5}
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