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Simplifying 3a7 + -9a6 + -324a5 = 0 Reorder the terms: -324a5 + -9a6 + 3a7 = 0 Solving -324a5 + -9a6 + 3a7 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a5'. 3a5(-108 + -3a + a2) = 0 Factor a trinomial. 3a5((-9 + -1a)(12 + -1a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve: Simplifying a5 = 0 Solving a5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9 + -1a)' equal to zero and attempt to solve: Simplifying -9 + -1a = 0 Solving -9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1a = 0 + 9 -1a = 0 + 9 Combine like terms: 0 + 9 = 9 -1a = 9 Divide each side by '-1'. a = -9 Simplifying a = -9Subproblem 3
Set the factor '(12 + -1a)' equal to zero and attempt to solve: Simplifying 12 + -1a = 0 Solving 12 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 0 + -12 -1a = 0 + -12 Combine like terms: 0 + -12 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12Solution
a = {-9, 12}
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