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Simplifying 2a3 + -2a = 3a2 Reorder the terms: -2a + 2a3 = 3a2 Solving -2a + 2a3 = 3a2 Solving for variable 'a'. Reorder the terms: -2a + -3a2 + 2a3 = 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 -2a + -3a2 + 2a3 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-2 + -3a + 2a2) = 0 Factor a trinomial. a((-1 + -2a)(2 + -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 + -2a)' equal to zero and attempt to solve: Simplifying -1 + -2a = 0 Solving -1 + -2a = 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 + -2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2a = 0 + 1 -2a = 0 + 1 Combine like terms: 0 + 1 = 1 -2a = 1 Divide each side by '-2'. a = -0.5 Simplifying a = -0.5Subproblem 3
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {0, -0.5, 2}
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