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Simplifying (a + 36)(a + 81) = 0 Reorder the terms: (36 + a)(a + 81) = 0 Reorder the terms: (36 + a)(81 + a) = 0 Multiply (36 + a) * (81 + a) (36(81 + a) + a(81 + a)) = 0 ((81 * 36 + a * 36) + a(81 + a)) = 0 ((2916 + 36a) + a(81 + a)) = 0 (2916 + 36a + (81 * a + a * a)) = 0 (2916 + 36a + (81a + a2)) = 0 Combine like terms: 36a + 81a = 117a (2916 + 117a + a2) = 0 Solving 2916 + 117a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (81 + a)(36 + a) = 0Subproblem 1
Set the factor '(81 + a)' equal to zero and attempt to solve: Simplifying 81 + a = 0 Solving 81 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + a = 0 + -81 Combine like terms: 81 + -81 = 0 0 + a = 0 + -81 a = 0 + -81 Combine like terms: 0 + -81 = -81 a = -81 Simplifying a = -81Subproblem 2
Set the factor '(36 + a)' equal to zero and attempt to solve: Simplifying 36 + a = 0 Solving 36 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + a = 0 + -36 a = 0 + -36 Combine like terms: 0 + -36 = -36 a = -36 Simplifying a = -36Solution
a = {-81, -36}
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