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Simplifying z4 + 8z2 + 7 = 0 Reorder the terms: 7 + 8z2 + z4 = 0 Solving 7 + 8z2 + z4 = 0 Solving for variable 'z'. Factor a trinomial. (7 + z2)(1 + z2) = 0Subproblem 1
Set the factor '(7 + z2)' equal to zero and attempt to solve: Simplifying 7 + z2 = 0 Solving 7 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + z2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + z2 = 0 + -7 z2 = 0 + -7 Combine like terms: 0 + -7 = -7 z2 = -7 Simplifying z2 = -7 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 '(1 + z2)' equal to zero and attempt to solve: Simplifying 1 + z2 = 0 Solving 1 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z2 = 0 + -1 z2 = 0 + -1 Combine like terms: 0 + -1 = -1 z2 = -1 Simplifying z2 = -1 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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