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Simplifying (a + -3)(a + -8) = 0 Reorder the terms: (-3 + a)(a + -8) = 0 Reorder the terms: (-3 + a)(-8 + a) = 0 Multiply (-3 + a) * (-8 + a) (-3(-8 + a) + a(-8 + a)) = 0 ((-8 * -3 + a * -3) + a(-8 + a)) = 0 ((24 + -3a) + a(-8 + a)) = 0 (24 + -3a + (-8 * a + a * a)) = 0 (24 + -3a + (-8a + a2)) = 0 Combine like terms: -3a + -8a = -11a (24 + -11a + a2) = 0 Solving 24 + -11a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + -1a)(8 + -1a) = 0Subproblem 1
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve: Simplifying 8 + -1a = 0 Solving 8 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8Solution
a = {3, 8}
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