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Simplifying 6a9 + -30a8 + -84a7 = 0 Reorder the terms: -84a7 + -30a8 + 6a9 = 0 Solving -84a7 + -30a8 + 6a9 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a7'. 6a7(-14 + -5a + a2) = 0 Factor a trinomial. 6a7((-2 + -1a)(7 + -1a)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a7' equal to zero and attempt to solve: Simplifying a7 = 0 Solving a7 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a7 = 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 '(-2 + -1a)' equal to zero and attempt to solve: Simplifying -2 + -1a = 0 Solving -2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 0 + 2 -1a = 0 + 2 Combine like terms: 0 + 2 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2Subproblem 3
Set the factor '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7Solution
a = {-2, 7}
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