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Simplifying 3a(a + -2) + 2a = 0 Reorder the terms: 3a(-2 + a) + 2a = 0 (-2 * 3a + a * 3a) + 2a = 0 (-6a + 3a2) + 2a = 0 Reorder the terms: -6a + 2a + 3a2 = 0 Combine like terms: -6a + 2a = -4a -4a + 3a2 = 0 Solving -4a + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-4 + 3a) = 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 + 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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