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Simplifying (a + 3)(a + -3) = (2a + -6) * 3 Reorder the terms: (3 + a)(a + -3) = (2a + -6) * 3 Reorder the terms: (3 + a)(-3 + a) = (2a + -6) * 3 Multiply (3 + a) * (-3 + a) (3(-3 + a) + a(-3 + a)) = (2a + -6) * 3 ((-3 * 3 + a * 3) + a(-3 + a)) = (2a + -6) * 3 ((-9 + 3a) + a(-3 + a)) = (2a + -6) * 3 (-9 + 3a + (-3 * a + a * a)) = (2a + -6) * 3 (-9 + 3a + (-3a + a2)) = (2a + -6) * 3 Combine like terms: 3a + -3a = 0 (-9 + 0 + a2) = (2a + -6) * 3 (-9 + a2) = (2a + -6) * 3 Reorder the terms: -9 + a2 = (-6 + 2a) * 3 Reorder the terms for easier multiplication: -9 + a2 = 3(-6 + 2a) -9 + a2 = (-6 * 3 + 2a * 3) -9 + a2 = (-18 + 6a) Solving -9 + a2 = -18 + 6a Solving for variable 'a'. Reorder the terms: -9 + 18 + -6a + a2 = -18 + 6a + 18 + -6a Combine like terms: -9 + 18 = 9 9 + -6a + a2 = -18 + 6a + 18 + -6a Reorder the terms: 9 + -6a + a2 = -18 + 18 + 6a + -6a Combine like terms: -18 + 18 = 0 9 + -6a + a2 = 0 + 6a + -6a 9 + -6a + a2 = 6a + -6a Combine like terms: 6a + -6a = 0 9 + -6a + a2 = 0 Factor a trinomial. (3 + -1a)(3 + -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 '(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 = 3Solution
a = {3, 3}
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