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Simplifying (a + 5)(a + -6) = 0 Reorder the terms: (5 + a)(a + -6) = 0 Reorder the terms: (5 + a)(-6 + a) = 0 Multiply (5 + a) * (-6 + a) (5(-6 + a) + a(-6 + a)) = 0 ((-6 * 5 + a * 5) + a(-6 + a)) = 0 ((-30 + 5a) + a(-6 + a)) = 0 (-30 + 5a + (-6 * a + a * a)) = 0 (-30 + 5a + (-6a + a2)) = 0 Combine like terms: 5a + -6a = -1a (-30 + -1a + a2) = 0 Solving -30 + -1a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -1a)(6 + -1a) = 0Subproblem 1
Set the factor '(-5 + -1a)' equal to zero and attempt to solve: Simplifying -5 + -1a = 0 Solving -5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5Subproblem 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 = {-5, 6}
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