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Simplifying (a + 25)(a + 16) = 0 Reorder the terms: (25 + a)(a + 16) = 0 Reorder the terms: (25 + a)(16 + a) = 0 Multiply (25 + a) * (16 + a) (25(16 + a) + a(16 + a)) = 0 ((16 * 25 + a * 25) + a(16 + a)) = 0 ((400 + 25a) + a(16 + a)) = 0 (400 + 25a + (16 * a + a * a)) = 0 (400 + 25a + (16a + a2)) = 0 Combine like terms: 25a + 16a = 41a (400 + 41a + a2) = 0 Solving 400 + 41a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (25 + a)(16 + a) = 0Subproblem 1
Set the factor '(25 + a)' equal to zero and attempt to solve: Simplifying 25 + a = 0 Solving 25 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + a = 0 + -25 a = 0 + -25 Combine like terms: 0 + -25 = -25 a = -25 Simplifying a = -25Subproblem 2
Set the factor '(16 + a)' equal to zero and attempt to solve: Simplifying 16 + a = 0 Solving 16 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + a = 0 + -16 a = 0 + -16 Combine like terms: 0 + -16 = -16 a = -16 Simplifying a = -16Solution
a = {-25, -16}
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