4y^8+8y^4+3=0

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Solution for 4y^8+8y^4+3=0 equation:


Simplifying
4y8 + 8y4 + 3 = 0

Reorder the terms:
3 + 8y4 + 4y8 = 0

Solving
3 + 8y4 + 4y8 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + 2y4)(1 + 2y4) = 0

Subproblem 1

Set the factor '(3 + 2y4)' equal to zero and attempt to solve: Simplifying 3 + 2y4 = 0 Solving 3 + 2y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y4 = 0 + -3 2y4 = 0 + -3 Combine like terms: 0 + -3 = -3 2y4 = -3 Divide each side by '2'. y4 = -1.5 Simplifying y4 = -1.5 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 + 2y4)' equal to zero and attempt to solve: Simplifying 1 + 2y4 = 0 Solving 1 + 2y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y4 = 0 + -1 2y4 = 0 + -1 Combine like terms: 0 + -1 = -1 2y4 = -1 Divide each side by '2'. y4 = -0.5 Simplifying y4 = -0.5 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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