x^8+3x^4+2=0

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Solution for x^8+3x^4+2=0 equation:


Simplifying
x8 + 3x4 + 2 = 0

Reorder the terms:
2 + 3x4 + x8 = 0

Solving
2 + 3x4 + x8 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + x4)(1 + x4) = 0

Subproblem 1

Set the factor '(2 + x4)' equal to zero and attempt to solve: Simplifying 2 + x4 = 0 Solving 2 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x4 = 0 + -2 x4 = 0 + -2 Combine like terms: 0 + -2 = -2 x4 = -2 Simplifying x4 = -2 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 + x4)' equal to zero and attempt to solve: Simplifying 1 + x4 = 0 Solving 1 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x4 = 0 + -1 x4 = 0 + -1 Combine like terms: 0 + -1 = -1 x4 = -1 Simplifying x4 = -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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