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Simplifying -1a12 + 8a6 + -1a12 = 0 Reorder the terms: 8a6 + -1a12 + -1a12 = 0 Combine like terms: -1a12 + -1a12 = -2a12 8a6 + -2a12 = 0 Solving 8a6 + -2a12 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a6'. 2a6(4 + -1a6) = 0 Factor a difference between two squares. 2a6((2 + a3)(2 + -1a3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a6' equal to zero and attempt to solve: Simplifying a6 = 0 Solving a6 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a6 = 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 + a3)' equal to zero and attempt to solve: Simplifying 2 + a3 = 0 Solving 2 + a3 = 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 + a3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a3 = 0 + -2 a3 = 0 + -2 Combine like terms: 0 + -2 = -2 a3 = -2 Simplifying a3 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -1a3)' equal to zero and attempt to solve: Simplifying 2 + -1a3 = 0 Solving 2 + -1a3 = 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 + -1a3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a3 = 0 + -2 -1a3 = 0 + -2 Combine like terms: 0 + -2 = -2 -1a3 = -2 Divide each side by '-1'. a3 = 2 Simplifying a3 = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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