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Simplifying 9a2 + 30a = 0 Reorder the terms: 30a + 9a2 = 0 Solving 30a + 9a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(10 + 3a) = 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 '(10 + 3a)' equal to zero and attempt to solve: Simplifying 10 + 3a = 0 Solving 10 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = 0 + -10 3a = 0 + -10 Combine like terms: 0 + -10 = -10 3a = -10 Divide each side by '3'. a = -3.333333333 Simplifying a = -3.333333333Solution
a = {0, -3.333333333}
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