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Simplifying (a + -16)(a + 81) = 0 Reorder the terms: (-16 + a)(a + 81) = 0 Reorder the terms: (-16 + a)(81 + a) = 0 Multiply (-16 + a) * (81 + a) (-16(81 + a) + a(81 + a)) = 0 ((81 * -16 + a * -16) + a(81 + a)) = 0 ((-1296 + -16a) + a(81 + a)) = 0 (-1296 + -16a + (81 * a + a * a)) = 0 (-1296 + -16a + (81a + a2)) = 0 Combine like terms: -16a + 81a = 65a (-1296 + 65a + a2) = 0 Solving -1296 + 65a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-81 + -1a)(16 + -1a) = 0Subproblem 1
Set the factor '(-81 + -1a)' equal to zero and attempt to solve: Simplifying -81 + -1a = 0 Solving -81 + -1a = 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 + -1a = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -1a = 0 + 81 -1a = 0 + 81 Combine like terms: 0 + 81 = 81 -1a = 81 Divide each side by '-1'. a = -81 Simplifying a = -81Subproblem 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 = {-81, 16}
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