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Simplifying (4a + 2) + (-1a2 + -3a + -2) = 0 Reorder the terms: (2 + 4a) + (-1a2 + -3a + -2) = 0 Remove parenthesis around (2 + 4a) 2 + 4a + (-1a2 + -3a + -2) = 0 Reorder the terms: 2 + 4a + (-2 + -3a + -1a2) = 0 Remove parenthesis around (-2 + -3a + -1a2) 2 + 4a + -2 + -3a + -1a2 = 0 Reorder the terms: 2 + -2 + 4a + -3a + -1a2 = 0 Combine like terms: 2 + -2 = 0 0 + 4a + -3a + -1a2 = 0 4a + -3a + -1a2 = 0 Combine like terms: 4a + -3a = 1a 1a + -1a2 = 0 Solving 1a + -1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(1 + -1a) = 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 '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 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 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {0, 1}
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