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Simplifying 2a(8 + -1a) + a(a + -1) = 0 (8 * 2a + -1a * 2a) + a(a + -1) = 0 (16a + -2a2) + a(a + -1) = 0 Reorder the terms: 16a + -2a2 + a(-1 + a) = 0 16a + -2a2 + (-1 * a + a * a) = 0 16a + -2a2 + (-1a + a2) = 0 Reorder the terms: 16a + -1a + -2a2 + a2 = 0 Combine like terms: 16a + -1a = 15a 15a + -2a2 + a2 = 0 Combine like terms: -2a2 + a2 = -1a2 15a + -1a2 = 0 Solving 15a + -1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(15 + -1a) = 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 '(15 + -1a)' equal to zero and attempt to solve: Simplifying 15 + -1a = 0 Solving 15 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 0 + -15 -1a = 0 + -15 Combine like terms: 0 + -15 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15Solution
a = {0, 15}
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