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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((-2 + -1a)(1 + -2a)) = 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 '(-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 = -2Subproblem 3
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 = 0.5Solution
a = {0, -2, 0.5}
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