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Simplifying (a + -2)(a + -4) = 0 Reorder the terms: (-2 + a)(a + -4) = 0 Reorder the terms: (-2 + a)(-4 + a) = 0 Multiply (-2 + a) * (-4 + a) (-2(-4 + a) + a(-4 + a)) = 0 ((-4 * -2 + a * -2) + a(-4 + a)) = 0 ((8 + -2a) + a(-4 + a)) = 0 (8 + -2a + (-4 * a + a * a)) = 0 (8 + -2a + (-4a + a2)) = 0 Combine like terms: -2a + -4a = -6a (8 + -6a + a2) = 0 Solving 8 + -6a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (2 + -1a)(4 + -1a) = 0Subproblem 1
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {2, 4}
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