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Simplifying a2 + -14a + 0 = 0 Reorder the terms: 0 + -14a + a2 = 0 Remove the zero: -14a + a2 = 0 Solving -14a + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-14 + 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 '(-14 + a)' equal to zero and attempt to solve: Simplifying -14 + a = 0 Solving -14 + a = 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 + a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + a = 0 + 14 a = 0 + 14 Combine like terms: 0 + 14 = 14 a = 14 Simplifying a = 14Solution
a = {0, 14}
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