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Simplifying 5a3 + -15a2 + -1190a = 0 Reorder the terms: -1190a + -15a2 + 5a3 = 0 Solving -1190a + -15a2 + 5a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-238 + -3a + a2) = 0 Factor a trinomial. 5a((-14 + -1a)(17 + -1a)) = 0 Ignore the factor 5.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 '(-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 = -14Subproblem 3
Set the factor '(17 + -1a)' equal to zero and attempt to solve: Simplifying 17 + -1a = 0 Solving 17 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1a = 0 + -17 -1a = 0 + -17 Combine like terms: 0 + -17 = -17 -1a = -17 Divide each side by '-1'. a = 17 Simplifying a = 17Solution
a = {0, -14, 17}
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