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