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Simplifying (a + 9)(a + -6) = 0 Reorder the terms: (9 + a)(a + -6) = 0 Reorder the terms: (9 + a)(-6 + a) = 0 Multiply (9 + a) * (-6 + a) (9(-6 + a) + a(-6 + a)) = 0 ((-6 * 9 + a * 9) + a(-6 + a)) = 0 ((-54 + 9a) + a(-6 + a)) = 0 (-54 + 9a + (-6 * a + a * a)) = 0 (-54 + 9a + (-6a + a2)) = 0 Combine like terms: 9a + -6a = 3a (-54 + 3a + a2) = 0 Solving -54 + 3a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -1a)(6 + -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 '(6 + -1a)' equal to zero and attempt to solve: Simplifying 6 + -1a = 0 Solving 6 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6Solution
a = {-9, 6}
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