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Simplifying (a + 4)(a + 49) = 0 Reorder the terms: (4 + a)(a + 49) = 0 Reorder the terms: (4 + a)(49 + a) = 0 Multiply (4 + a) * (49 + a) (4(49 + a) + a(49 + a)) = 0 ((49 * 4 + a * 4) + a(49 + a)) = 0 ((196 + 4a) + a(49 + a)) = 0 (196 + 4a + (49 * a + a * a)) = 0 (196 + 4a + (49a + a2)) = 0 Combine like terms: 4a + 49a = 53a (196 + 53a + a2) = 0 Solving 196 + 53a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (49 + a)(4 + a) = 0Subproblem 1
Set the factor '(49 + a)' equal to zero and attempt to solve: Simplifying 49 + a = 0 Solving 49 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + a = 0 + -49 Combine like terms: 49 + -49 = 0 0 + a = 0 + -49 a = 0 + -49 Combine like terms: 0 + -49 = -49 a = -49 Simplifying a = -49Subproblem 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 = {-49, -4}
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