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Simplifying 4a3 + 25a2 + 25a = 0 Reorder the terms: 25a + 25a2 + 4a3 = 0 Solving 25a + 25a2 + 4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(25 + 25a + 4a2) = 0 Factor a trinomial. a((5 + a)(5 + 4a)) = 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 '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Subproblem 3
Set the factor '(5 + 4a)' equal to zero and attempt to solve: Simplifying 5 + 4a = 0 Solving 5 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4a = 0 + -5 4a = 0 + -5 Combine like terms: 0 + -5 = -5 4a = -5 Divide each side by '4'. a = -1.25 Simplifying a = -1.25Solution
a = {0, -5, -1.25}
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