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Simplifying z6 + 6z3 + 9 = 0 Reorder the terms: 9 + 6z3 + z6 = 0 Solving 9 + 6z3 + z6 = 0 Solving for variable 'z'. Factor a trinomial. (3 + z3)(3 + z3) = 0Subproblem 1
Set the factor '(3 + z3)' equal to zero and attempt to solve: Simplifying 3 + z3 = 0 Solving 3 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z3 = 0 + -3 z3 = 0 + -3 Combine like terms: 0 + -3 = -3 z3 = -3 Simplifying z3 = -3 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 '(3 + z3)' equal to zero and attempt to solve: Simplifying 3 + z3 = 0 Solving 3 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z3 = 0 + -3 z3 = 0 + -3 Combine like terms: 0 + -3 = -3 z3 = -3 Simplifying z3 = -3 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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