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Simplifying (a + -8)(a + -9) = 0 Reorder the terms: (-8 + a)(a + -9) = 0 Reorder the terms: (-8 + a)(-9 + a) = 0 Multiply (-8 + a) * (-9 + a) (-8(-9 + a) + a(-9 + a)) = 0 ((-9 * -8 + a * -8) + a(-9 + a)) = 0 ((72 + -8a) + a(-9 + a)) = 0 (72 + -8a + (-9 * a + a * a)) = 0 (72 + -8a + (-9a + a2)) = 0 Combine like terms: -8a + -9a = -17a (72 + -17a + a2) = 0 Solving 72 + -17a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (8 + -1a)(9 + -1a) = 0Subproblem 1
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 = 8Subproblem 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 = {8, 9}
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