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Simplifying (a + 9)(a + -1) = 0 Reorder the terms: (9 + a)(a + -1) = 0 Reorder the terms: (9 + a)(-1 + a) = 0 Multiply (9 + a) * (-1 + a) (9(-1 + a) + a(-1 + a)) = 0 ((-1 * 9 + a * 9) + a(-1 + a)) = 0 ((-9 + 9a) + a(-1 + a)) = 0 (-9 + 9a + (-1 * a + a * a)) = 0 (-9 + 9a + (-1a + a2)) = 0 Combine like terms: 9a + -1a = 8a (-9 + 8a + a2) = 0 Solving -9 + 8a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -1a)(1 + -1a) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {-9, 1}
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