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Simplifying z4 + 6z2 + 8 = 0 Reorder the terms: 8 + 6z2 + z4 = 0 Solving 8 + 6z2 + z4 = 0 Solving for variable 'z'. Factor a trinomial. (4 + z2)(2 + z2) = 0Subproblem 1
Set the factor '(4 + z2)' equal to zero and attempt to solve: Simplifying 4 + z2 = 0 Solving 4 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + z2 = 0 + -4 z2 = 0 + -4 Combine like terms: 0 + -4 = -4 z2 = -4 Simplifying z2 = -4 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 + z2)' equal to zero and attempt to solve: Simplifying 2 + z2 = 0 Solving 2 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + z2 = 0 + -2 z2 = 0 + -2 Combine like terms: 0 + -2 = -2 z2 = -2 Simplifying z2 = -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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