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Simplifying 9a3 + -27a2 + -3402a = 0 Reorder the terms: -3402a + -27a2 + 9a3 = 0 Solving -3402a + -27a2 + 9a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '9a'. 9a(-378 + -3a + a2) = 0 Factor a trinomial. 9a((-18 + -1a)(21 + -1a)) = 0 Ignore the factor 9.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 '(-18 + -1a)' equal to zero and attempt to solve: Simplifying -18 + -1a = 0 Solving -18 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1a = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1a = 0 + 18 -1a = 0 + 18 Combine like terms: 0 + 18 = 18 -1a = 18 Divide each side by '-1'. a = -18 Simplifying a = -18Subproblem 3
Set the factor '(21 + -1a)' equal to zero and attempt to solve: Simplifying 21 + -1a = 0 Solving 21 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1a = 0 + -21 -1a = 0 + -21 Combine like terms: 0 + -21 = -21 -1a = -21 Divide each side by '-1'. a = 21 Simplifying a = 21Solution
a = {0, -18, 21}
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