y^8+8y^4+16=0

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Solution for y^8+8y^4+16=0 equation:


Simplifying
y8 + 8y4 + 16 = 0

Reorder the terms:
16 + 8y4 + y8 = 0

Solving
16 + 8y4 + y8 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + y4)(4 + y4) = 0

Subproblem 1

Set the factor '(4 + y4)' equal to zero and attempt to solve: Simplifying 4 + y4 = 0 Solving 4 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y4 = 0 + -4 y4 = 0 + -4 Combine like terms: 0 + -4 = -4 y4 = -4 Simplifying y4 = -4 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 + y4)' equal to zero and attempt to solve: Simplifying 4 + y4 = 0 Solving 4 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y4 = 0 + -4 y4 = 0 + -4 Combine like terms: 0 + -4 = -4 y4 = -4 Simplifying y4 = -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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