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Simplifying (a + -16)(a + 9) = 0 Reorder the terms: (-16 + a)(a + 9) = 0 Reorder the terms: (-16 + a)(9 + a) = 0 Multiply (-16 + a) * (9 + a) (-16(9 + a) + a(9 + a)) = 0 ((9 * -16 + a * -16) + a(9 + a)) = 0 ((-144 + -16a) + a(9 + a)) = 0 (-144 + -16a + (9 * a + a * a)) = 0 (-144 + -16a + (9a + a2)) = 0 Combine like terms: -16a + 9a = -7a (-144 + -7a + a2) = 0 Solving -144 + -7a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -1a)(16 + -1a) = 0Subproblem 1
Set the factor '(-9 + -1a)' equal to zero and attempt to solve: Simplifying -9 + -1a = 0 Solving -9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1a = 0 + 9 -1a = 0 + 9 Combine like terms: 0 + 9 = 9 -1a = 9 Divide each side by '-1'. a = -9 Simplifying a = -9Subproblem 2
Set the factor '(16 + -1a)' equal to zero and attempt to solve: Simplifying 16 + -1a = 0 Solving 16 + -1a = 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 + -1a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1a = 0 + -16 -1a = 0 + -16 Combine like terms: 0 + -16 = -16 -1a = -16 Divide each side by '-1'. a = 16 Simplifying a = 16Solution
a = {-9, 16}
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