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Simplifying z8 + 32z4 + 256 = 0 Reorder the terms: 256 + 32z4 + z8 = 0 Solving 256 + 32z4 + z8 = 0 Solving for variable 'z'. Factor a trinomial. (16 + z4)(16 + z4) = 0Subproblem 1
Set the factor '(16 + z4)' equal to zero and attempt to solve: Simplifying 16 + z4 = 0 Solving 16 + z4 = 0 Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + z4 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + z4 = 0 + -16 z4 = 0 + -16 Combine like terms: 0 + -16 = -16 z4 = -16 Simplifying z4 = -16 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 '(16 + z4)' equal to zero and attempt to solve: Simplifying 16 + z4 = 0 Solving 16 + z4 = 0 Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + z4 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + z4 = 0 + -16 z4 = 0 + -16 Combine like terms: 0 + -16 = -16 z4 = -16 Simplifying z4 = -16 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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