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Simplifying 4a3 + -12a2 + -616a = 0 Reorder the terms: -616a + -12a2 + 4a3 = 0 Solving -616a + -12a2 + 4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-154 + -3a + a2) = 0 Factor a trinomial. 4a((-11 + -1a)(14 + -1a)) = 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 '(-11 + -1a)' equal to zero and attempt to solve: Simplifying -11 + -1a = 0 Solving -11 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1a = 0 + 11 -1a = 0 + 11 Combine like terms: 0 + 11 = 11 -1a = 11 Divide each side by '-1'. a = -11 Simplifying a = -11Subproblem 3
Set the factor '(14 + -1a)' equal to zero and attempt to solve: Simplifying 14 + -1a = 0 Solving 14 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1a = 0 + -14 -1a = 0 + -14 Combine like terms: 0 + -14 = -14 -1a = -14 Divide each side by '-1'. a = 14 Simplifying a = 14Solution
a = {0, -11, 14}
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