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Simplifying a2 + 33a + 252 = 0 Reorder the terms: 252 + 33a + a2 = 0 Solving 252 + 33a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (21 + a)(12 + a) = 0Subproblem 1
Set the factor '(21 + a)' equal to zero and attempt to solve: Simplifying 21 + a = 0 Solving 21 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + a = 0 + -21 a = 0 + -21 Combine like terms: 0 + -21 = -21 a = -21 Simplifying a = -21Subproblem 2
Set the factor '(12 + a)' equal to zero and attempt to solve: Simplifying 12 + a = 0 Solving 12 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + a = 0 + -12 a = 0 + -12 Combine like terms: 0 + -12 = -12 a = -12 Simplifying a = -12Solution
a = {-21, -12}
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