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Simplifying z4 + 13z2 + 36 = 0 Reorder the terms: 36 + 13z2 + z4 = 0 Solving 36 + 13z2 + z4 = 0 Solving for variable 'z'. Factor a trinomial. (9 + z2)(4 + z2) = 0Subproblem 1
Set the factor '(9 + z2)' equal to zero and attempt to solve: Simplifying 9 + z2 = 0 Solving 9 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + z2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + z2 = 0 + -9 z2 = 0 + -9 Combine like terms: 0 + -9 = -9 z2 = -9 Simplifying z2 = -9 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 '(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. The solution to this equation could not be determined.
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