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Simplifying 0 = a2 + -14a Reorder the terms: 0 = -14a + a2 Solving 0 = -14a + a2 Solving for variable 'a'. Remove the zero: 14a + -1a2 = -14a + a2 + 14a + -1a2 Reorder the terms: 14a + -1a2 = -14a + 14a + a2 + -1a2 Combine like terms: -14a + 14a = 0 14a + -1a2 = 0 + a2 + -1a2 14a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 14a + -1a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(14 + -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 '(14 + -1a)' equal to zero and attempt to solve: Simplifying 14 + -1a = 0 Solving 14 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1a = 0 + -14 -1a = 0 + -14 Combine like terms: 0 + -14 = -14 -1a = -14 Divide each side by '-1'. a = 14 Simplifying a = 14Solution
a = {0, 14}
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