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Simplifying 2a2 + 11a + 15a = 0 Reorder the terms: 11a + 15a + 2a2 = 0 Combine like terms: 11a + 15a = 26a 26a + 2a2 = 0 Solving 26a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(13 + a) = 0 Ignore the factor 2.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 '(13 + a)' equal to zero and attempt to solve: Simplifying 13 + a = 0 Solving 13 + a = 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 + a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + a = 0 + -13 a = 0 + -13 Combine like terms: 0 + -13 = -13 a = -13 Simplifying a = -13Solution
a = {0, -13}
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