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Simplifying 2a2 + 16a2 + 30a = 0 Reorder the terms: 30a + 2a2 + 16a2 = 0 Combine like terms: 2a2 + 16a2 = 18a2 30a + 18a2 = 0 Solving 30a + 18a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(5 + 3a) = 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 '(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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