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Simplifying 80a + a2 = 18a Solving 80a + a2 = 18a Solving for variable 'a'. Reorder the terms: 80a + -18a + a2 = 18a + -18a Combine like terms: 80a + -18a = 62a 62a + a2 = 18a + -18a Combine like terms: 18a + -18a = 0 62a + a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(62 + 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 '(62 + a)' equal to zero and attempt to solve: Simplifying 62 + a = 0 Solving 62 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + a = 0 + -62 Combine like terms: 62 + -62 = 0 0 + a = 0 + -62 a = 0 + -62 Combine like terms: 0 + -62 = -62 a = -62 Simplifying a = -62Solution
a = {0, -62}
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