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Simplifying 4a3 + 16a2 = -16a Reorder the terms: 16a2 + 4a3 = -16a Solving 16a2 + 4a3 = -16a Solving for variable 'a'. Reorder the terms: 16a + 16a2 + 4a3 = -16a + 16a Combine like terms: -16a + 16a = 0 16a + 16a2 + 4a3 = 0 Factor out the Greatest Common Factor (GCF), '4a'. 4a(4 + 4a + a2) = 0 Factor a trinomial. 4a((2 + a)(2 + a)) = 0 Ignore the factor 4.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 '(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 '(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 = -2Solution
a = {0, -2, -2}
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