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Simplifying 0 = 3a + -1(-1a2) Remove parenthesis around (-1a2) 0 = 3a + -1 * -1a2 Multiply -1 * -1 0 = 3a + 1a2 Solving 0 = 3a + 1a2 Solving for variable 'a'. Remove the zero: -3a + -1a2 = 3a + 1a2 + -3a + -1a2 Reorder the terms: -3a + -1a2 = 3a + -3a + 1a2 + -1a2 Combine like terms: 3a + -3a = 0 -3a + -1a2 = 0 + 1a2 + -1a2 -3a + -1a2 = 1a2 + -1a2 Combine like terms: 1a2 + -1a2 = 0 -3a + -1a2 = 0 Factor out the Greatest Common Factor (GCF), '-1a'. -1a(3 + a) = 0 Ignore the factor -1.Subproblem 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 '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Solution
a = {0, -3}
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