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Simplifying (a + -2)(2a + -1) = 2 Reorder the terms: (-2 + a)(2a + -1) = 2 Reorder the terms: (-2 + a)(-1 + 2a) = 2 Multiply (-2 + a) * (-1 + 2a) (-2(-1 + 2a) + a(-1 + 2a)) = 2 ((-1 * -2 + 2a * -2) + a(-1 + 2a)) = 2 ((2 + -4a) + a(-1 + 2a)) = 2 (2 + -4a + (-1 * a + 2a * a)) = 2 (2 + -4a + (-1a + 2a2)) = 2 Combine like terms: -4a + -1a = -5a (2 + -5a + 2a2) = 2 Add '-2' to each side of the equation. 2 + -5a + -2 + 2a2 = 2 + -2 Reorder the terms: 2 + -2 + -5a + 2a2 = 2 + -2 Combine like terms: 2 + -2 = 0 0 + -5a + 2a2 = 2 + -2 -5a + 2a2 = 2 + -2 Combine like terms: 2 + -2 = 0 -5a + 2a2 = 0 Solving -5a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-5 + 2a) = 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 '(-5 + 2a)' equal to zero and attempt to solve: Simplifying -5 + 2a = 0 Solving -5 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 0 + 5 2a = 0 + 5 Combine like terms: 0 + 5 = 5 2a = 5 Divide each side by '2'. a = 2.5 Simplifying a = 2.5Solution
a = {0, 2.5}
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