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Simplifying a3 + -16a2 + 28a = 0 Reorder the terms: 28a + -16a2 + a3 = 0 Solving 28a + -16a2 + a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(28 + -16a + a2) = 0 Factor a trinomial. a((2 + -1a)(14 + -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 '(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 '(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, 2, 14}
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