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Simplifying (2 + -1a)(2 + -1a) + -4 = 0 Multiply (2 + -1a) * (2 + -1a) (2(2 + -1a) + -1a * (2 + -1a)) + -4 = 0 ((2 * 2 + -1a * 2) + -1a * (2 + -1a)) + -4 = 0 ((4 + -2a) + -1a * (2 + -1a)) + -4 = 0 (4 + -2a + (2 * -1a + -1a * -1a)) + -4 = 0 (4 + -2a + (-2a + 1a2)) + -4 = 0 Combine like terms: -2a + -2a = -4a (4 + -4a + 1a2) + -4 = 0 Reorder the terms: 4 + -4 + -4a + 1a2 = 0 Combine like terms: 4 + -4 = 0 0 + -4a + 1a2 = 0 -4a + 1a2 = 0 Solving -4a + 1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-4 + a) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
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 = 4Solution
a = {0, 4}
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