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Simplifying -50a3 + -20a2 + 48a = 0 Reorder the terms: 48a + -20a2 + -50a3 = 0 Solving 48a + -20a2 + -50a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(24 + -10a + -25a2) = 0 Factor a trinomial. 2a((4 + -5a)(6 + 5a)) = 0 Ignore the factor 2.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 '(4 + -5a)' equal to zero and attempt to solve: Simplifying 4 + -5a = 0 Solving 4 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5a = 0 + -4 -5a = 0 + -4 Combine like terms: 0 + -4 = -4 -5a = -4 Divide each side by '-5'. a = 0.8 Simplifying a = 0.8Subproblem 3
Set the factor '(6 + 5a)' equal to zero and attempt to solve: Simplifying 6 + 5a = 0 Solving 6 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5a = 0 + -6 5a = 0 + -6 Combine like terms: 0 + -6 = -6 5a = -6 Divide each side by '5'. a = -1.2 Simplifying a = -1.2Solution
a = {0, 0.8, -1.2}
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