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Simplifying 2a2 + -46a = -252 Reorder the terms: -46a + 2a2 = -252 Solving -46a + 2a2 = -252 Solving for variable 'a'. Reorder the terms: 252 + -46a + 2a2 = -252 + 252 Combine like terms: -252 + 252 = 0 252 + -46a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(126 + -23a + a2) = 0 Factor a trinomial. 2((9 + -1a)(14 + -1a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1a)' equal to zero and attempt to solve: Simplifying 9 + -1a = 0 Solving 9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 0 + -9 -1a = 0 + -9 Combine like terms: 0 + -9 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9Subproblem 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 = {9, 14}
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