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Simplifying (a + -9)(a + -4) = 0 Reorder the terms: (-9 + a)(a + -4) = 0 Reorder the terms: (-9 + a)(-4 + a) = 0 Multiply (-9 + a) * (-4 + a) (-9(-4 + a) + a(-4 + a)) = 0 ((-4 * -9 + a * -9) + a(-4 + a)) = 0 ((36 + -9a) + a(-4 + a)) = 0 (36 + -9a + (-4 * a + a * a)) = 0 (36 + -9a + (-4a + a2)) = 0 Combine like terms: -9a + -4a = -13a (36 + -13a + a2) = 0 Solving 36 + -13a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + -1a)(9 + -1a) = 0Subproblem 1
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 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 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Subproblem 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 = {4, 9}
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