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Simplifying az3 + 9az2 + -22az = 0 Reorder the terms: -22az + 9az2 + az3 = 0 Solving -22az + 9az2 + az3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'az'. az(-22 + 9z + z2) = 0 Factor a trinomial. az((-11 + -1z)(2 + -1z)) = 0Subproblem 1
Set the factor 'az' equal to zero and attempt to solve: Simplifying az = 0 Solving az = 0 Move all terms containing a to the left, all other terms to the right. Simplifying az = 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 '(-11 + -1z)' equal to zero and attempt to solve: Simplifying -11 + -1z = 0 Solving -11 + -1z = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1z = 0 + 11 -1z = 0 + 11 Combine like terms: 0 + 11 = 11 -1z = 11 Add 'z' to each side of the equation. -1z + z = 11 + z Combine like terms: -1z + z = 0 0 = 11 + z Simplifying 0 = 11 + z 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 + -1z)' equal to zero and attempt to solve: Simplifying 2 + -1z = 0 Solving 2 + -1z = 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 + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 0 + -2 -1z = 0 + -2 Combine like terms: 0 + -2 = -2 -1z = -2 Add 'z' to each side of the equation. -1z + z = -2 + z Combine like terms: -1z + z = 0 0 = -2 + z Simplifying 0 = -2 + z 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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