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Simplifying (a + -9)(a + -5) = 0 Reorder the terms: (-9 + a)(a + -5) = 0 Reorder the terms: (-9 + a)(-5 + a) = 0 Multiply (-9 + a) * (-5 + a) (-9(-5 + a) + a(-5 + a)) = 0 ((-5 * -9 + a * -9) + a(-5 + a)) = 0 ((45 + -9a) + a(-5 + a)) = 0 (45 + -9a + (-5 * a + a * a)) = 0 (45 + -9a + (-5a + a2)) = 0 Combine like terms: -9a + -5a = -14a (45 + -14a + a2) = 0 Solving 45 + -14a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + -1a)(9 + -1a) = 0Subproblem 1
Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Subproblem 2
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 = 9Solution
a = {5, 9}
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