(z^8)+(4z^4)+3=0

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Solution for (z^8)+(4z^4)+3=0 equation:


Simplifying
(z8) + (4z4) + 3 = 0
z8 + (4z4) + 3 = 0

Reorder the terms:
3 + (4z4) + z8 = 0

Solving
3 + (4z4) + z8 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + z4)(1 + z4) = 0

Subproblem 1

Set the factor '(3 + z4)' equal to zero and attempt to solve: Simplifying 3 + z4 = 0 Solving 3 + z4 = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z4 = 0 + -3 z4 = 0 + -3 Combine like terms: 0 + -3 = -3 z4 = -3 Simplifying z4 = -3 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 + z4)' equal to zero and attempt to solve: Simplifying 1 + z4 = 0 Solving 1 + z4 = 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 + z4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z4 = 0 + -1 z4 = 0 + -1 Combine like terms: 0 + -1 = -1 z4 = -1 Simplifying z4 = -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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