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Simplifying (-2a + -1)(-4a + -8) = 0 Reorder the terms: (-1 + -2a)(-4a + -8) = 0 Reorder the terms: (-1 + -2a)(-8 + -4a) = 0 Multiply (-1 + -2a) * (-8 + -4a) (-1(-8 + -4a) + -2a * (-8 + -4a)) = 0 ((-8 * -1 + -4a * -1) + -2a * (-8 + -4a)) = 0 ((8 + 4a) + -2a * (-8 + -4a)) = 0 (8 + 4a + (-8 * -2a + -4a * -2a)) = 0 (8 + 4a + (16a + 8a2)) = 0 Combine like terms: 4a + 16a = 20a (8 + 20a + 8a2) = 0 Solving 8 + 20a + 8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(2 + 5a + 2a2) = 0 Factor a trinomial. 4((2 + a)(1 + 2a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 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 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Subproblem 2
Set the factor '(1 + 2a)' equal to zero and attempt to solve: Simplifying 1 + 2a = 0 Solving 1 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5Solution
a = {-2, -0.5}
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