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Simplifying 2a(a + 5) + -1a(a + -6) = 0 Reorder the terms: 2a(5 + a) + -1a(a + -6) = 0 (5 * 2a + a * 2a) + -1a(a + -6) = 0 (10a + 2a2) + -1a(a + -6) = 0 Reorder the terms: 10a + 2a2 + -1a(-6 + a) = 0 10a + 2a2 + (-6 * -1a + a * -1a) = 0 10a + 2a2 + (6a + -1a2) = 0 Reorder the terms: 10a + 6a + 2a2 + -1a2 = 0 Combine like terms: 10a + 6a = 16a 16a + 2a2 + -1a2 = 0 Combine like terms: 2a2 + -1a2 = 1a2 16a + 1a2 = 0 Solving 16a + 1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(16 + 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 '(16 + a)' equal to zero and attempt to solve: Simplifying 16 + a = 0 Solving 16 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + a = 0 + -16 a = 0 + -16 Combine like terms: 0 + -16 = -16 a = -16 Simplifying a = -16Solution
a = {0, -16}
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