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Simplifying (a + 3)(a + -15) = 0 Reorder the terms: (3 + a)(a + -15) = 0 Reorder the terms: (3 + a)(-15 + a) = 0 Multiply (3 + a) * (-15 + a) (3(-15 + a) + a(-15 + a)) = 0 ((-15 * 3 + a * 3) + a(-15 + a)) = 0 ((-45 + 3a) + a(-15 + a)) = 0 (-45 + 3a + (-15 * a + a * a)) = 0 (-45 + 3a + (-15a + a2)) = 0 Combine like terms: 3a + -15a = -12a (-45 + -12a + a2) = 0 Solving -45 + -12a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-3 + -1a)(15 + -1a) = 0Subproblem 1
Set the factor '(-3 + -1a)' equal to zero and attempt to solve: Simplifying -3 + -1a = 0 Solving -3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 0 + 3 -1a = 0 + 3 Combine like terms: 0 + 3 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3Subproblem 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 = {-3, 15}
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