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Simplifying (a + 8)(a + -15) = 0 Reorder the terms: (8 + a)(a + -15) = 0 Reorder the terms: (8 + a)(-15 + a) = 0 Multiply (8 + a) * (-15 + a) (8(-15 + a) + a(-15 + a)) = 0 ((-15 * 8 + a * 8) + a(-15 + a)) = 0 ((-120 + 8a) + a(-15 + a)) = 0 (-120 + 8a + (-15 * a + a * a)) = 0 (-120 + 8a + (-15a + a2)) = 0 Combine like terms: 8a + -15a = -7a (-120 + -7a + a2) = 0 Solving -120 + -7a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-8 + -1a)(15 + -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 '(15 + -1a)' equal to zero and attempt to solve: Simplifying 15 + -1a = 0 Solving 15 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 0 + -15 -1a = 0 + -15 Combine like terms: 0 + -15 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15Solution
a = {-8, 15}
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