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Simplifying 2a2 + 13a = 0 Reorder the terms: 13a + 2a2 = 0 Solving 13a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(13 + 2a) = 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 '(13 + 2a)' equal to zero and attempt to solve: Simplifying 13 + 2a = 0 Solving 13 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2a = 0 + -13 2a = 0 + -13 Combine like terms: 0 + -13 = -13 2a = -13 Divide each side by '2'. a = -6.5 Simplifying a = -6.5Solution
a = {0, -6.5}
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