x^8+20x^4+64=0

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Solution for x^8+20x^4+64=0 equation:


Simplifying
x8 + 20x4 + 64 = 0

Reorder the terms:
64 + 20x4 + x8 = 0

Solving
64 + 20x4 + x8 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + x4)(4 + x4) = 0

Subproblem 1

Set the factor '(16 + x4)' equal to zero and attempt to solve: Simplifying 16 + x4 = 0 Solving 16 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x4 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x4 = 0 + -16 x4 = 0 + -16 Combine like terms: 0 + -16 = -16 x4 = -16 Simplifying x4 = -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 '(4 + x4)' equal to zero and attempt to solve: Simplifying 4 + x4 = 0 Solving 4 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x4 = 0 + -4 x4 = 0 + -4 Combine like terms: 0 + -4 = -4 x4 = -4 Simplifying x4 = -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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