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Simplifying (a + 11)(a + 4) = 0 Reorder the terms: (11 + a)(a + 4) = 0 Reorder the terms: (11 + a)(4 + a) = 0 Multiply (11 + a) * (4 + a) (11(4 + a) + a(4 + a)) = 0 ((4 * 11 + a * 11) + a(4 + a)) = 0 ((44 + 11a) + a(4 + a)) = 0 (44 + 11a + (4 * a + a * a)) = 0 (44 + 11a + (4a + a2)) = 0 Combine like terms: 11a + 4a = 15a (44 + 15a + a2) = 0 Solving 44 + 15a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (11 + a)(4 + a) = 0Subproblem 1
Set the factor '(11 + a)' equal to zero and attempt to solve: Simplifying 11 + a = 0 Solving 11 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + a = 0 + -11 a = 0 + -11 Combine like terms: 0 + -11 = -11 a = -11 Simplifying a = -11Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Solution
a = {-11, -4}
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