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Simplifying (a + 7)(a + 2) = 0 Reorder the terms: (7 + a)(a + 2) = 0 Reorder the terms: (7 + a)(2 + a) = 0 Multiply (7 + a) * (2 + a) (7(2 + a) + a(2 + a)) = 0 ((2 * 7 + a * 7) + a(2 + a)) = 0 ((14 + 7a) + a(2 + a)) = 0 (14 + 7a + (2 * a + a * a)) = 0 (14 + 7a + (2a + a2)) = 0 Combine like terms: 7a + 2a = 9a (14 + 9a + a2) = 0 Solving 14 + 9a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + a)(2 + a) = 0Subproblem 1
Set the factor '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {-7, -2}
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