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Simplifying 2a3 = -5a2 + -2a Reorder the terms: 2a3 = -2a + -5a2 Solving 2a3 = -2a + -5a2 Solving for variable 'a'. Reorder the terms: 2a + 5a2 + 2a3 = -2a + -5a2 + 2a + 5a2 Reorder the terms: 2a + 5a2 + 2a3 = -2a + 2a + -5a2 + 5a2 Combine like terms: -2a + 2a = 0 2a + 5a2 + 2a3 = 0 + -5a2 + 5a2 2a + 5a2 + 2a3 = -5a2 + 5a2 Combine like terms: -5a2 + 5a2 = 0 2a + 5a2 + 2a3 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(2 + 5a + 2a2) = 0 Factor a trinomial. a((2 + a)(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 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 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 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 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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