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Simplifying 2a3 + -6a2 + -1008a = 0 Reorder the terms: -1008a + -6a2 + 2a3 = 0 Solving -1008a + -6a2 + 2a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-504 + -3a + a2) = 0 Factor a trinomial. 2a((-21 + -1a)(24 + -1a)) = 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 '(-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 = -21Subproblem 3
Set the factor '(24 + -1a)' equal to zero and attempt to solve: Simplifying 24 + -1a = 0 Solving 24 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1a = 0 + -24 -1a = 0 + -24 Combine like terms: 0 + -24 = -24 -1a = -24 Divide each side by '-1'. a = 24 Simplifying a = 24Solution
a = {0, -21, 24}
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