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Simplifying 0 = 2a(4 + 3a) 0 = (4 * 2a + 3a * 2a) 0 = (8a + 6a2) Solving 0 = 8a + 6a2 Solving for variable 'a'. Remove the zero: -8a + -6a2 = 8a + 6a2 + -8a + -6a2 Reorder the terms: -8a + -6a2 = 8a + -8a + 6a2 + -6a2 Combine like terms: 8a + -8a = 0 -8a + -6a2 = 0 + 6a2 + -6a2 -8a + -6a2 = 6a2 + -6a2 Combine like terms: 6a2 + -6a2 = 0 -8a + -6a2 = 0 Factor out the Greatest Common Factor (GCF), '-2a'. -2a(4 + 3a) = 0 Ignore the factor -2.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 '(4 + 3a)' equal to zero and attempt to solve: Simplifying 4 + 3a = 0 Solving 4 + 3a = 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 + 3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 0 + -4 3a = 0 + -4 Combine like terms: 0 + -4 = -4 3a = -4 Divide each side by '3'. a = -1.333333333 Simplifying a = -1.333333333Solution
a = {0, -1.333333333}
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