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Simplifying 3a3 + 21a2 + -90a = 0 Reorder the terms: -90a + 21a2 + 3a3 = 0 Solving -90a + 21a2 + 3a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-30 + 7a + a2) = 0 Factor a trinomial. 3a((-10 + -1a)(3 + -1a)) = 0 Ignore the factor 3.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 '(-10 + -1a)' equal to zero and attempt to solve: Simplifying -10 + -1a = 0 Solving -10 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1a = 0 + 10 -1a = 0 + 10 Combine like terms: 0 + 10 = 10 -1a = 10 Divide each side by '-1'. a = -10 Simplifying a = -10Subproblem 3
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {0, -10, 3}
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