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Simplifying z4 + 10z2 + 25 = 0 Reorder the terms: 25 + 10z2 + z4 = 0 Solving 25 + 10z2 + z4 = 0 Solving for variable 'z'. Factor a trinomial. (5 + z2)(5 + z2) = 0Subproblem 1
Set the factor '(5 + z2)' equal to zero and attempt to solve: Simplifying 5 + z2 = 0 Solving 5 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z2 = 0 + -5 z2 = 0 + -5 Combine like terms: 0 + -5 = -5 z2 = -5 Simplifying z2 = -5 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 '(5 + z2)' equal to zero and attempt to solve: Simplifying 5 + z2 = 0 Solving 5 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z2 = 0 + -5 z2 = 0 + -5 Combine like terms: 0 + -5 = -5 z2 = -5 Simplifying z2 = -5 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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