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Simplifying 0 = (2 + -1a)(4 + -1a) Multiply (2 + -1a) * (4 + -1a) 0 = (2(4 + -1a) + -1a * (4 + -1a)) 0 = ((4 * 2 + -1a * 2) + -1a * (4 + -1a)) 0 = ((8 + -2a) + -1a * (4 + -1a)) 0 = (8 + -2a + (4 * -1a + -1a * -1a)) 0 = (8 + -2a + (-4a + 1a2)) Combine like terms: -2a + -4a = -6a 0 = (8 + -6a + 1a2) Solving 0 = 8 + -6a + 1a2 Solving for variable 'a'. Combine like terms: 0 + -8 = -8 -8 + 6a + -1a2 = 8 + -6a + 1a2 + -8 + 6a + -1a2 Reorder the terms: -8 + 6a + -1a2 = 8 + -8 + -6a + 6a + 1a2 + -1a2 Combine like terms: 8 + -8 = 0 -8 + 6a + -1a2 = 0 + -6a + 6a + 1a2 + -1a2 -8 + 6a + -1a2 = -6a + 6a + 1a2 + -1a2 Combine like terms: -6a + 6a = 0 -8 + 6a + -1a2 = 0 + 1a2 + -1a2 -8 + 6a + -1a2 = 1a2 + -1a2 Combine like terms: 1a2 + -1a2 = 0 -8 + 6a + -1a2 = 0 Factor a trinomial. (-4 + a)(2 + -1a) = 0Subproblem 1
Set the factor '(-4 + a)' equal to zero and attempt to solve: Simplifying -4 + a = 0 Solving -4 + a = 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 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4Subproblem 2
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 = 2Solution
a = {4, 2}
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