25y^8+10y^4+1=0

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Solution for 25y^8+10y^4+1=0 equation:


Simplifying
25y8 + 10y4 + 1 = 0

Reorder the terms:
1 + 10y4 + 25y8 = 0

Solving
1 + 10y4 + 25y8 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + 5y4)(1 + 5y4) = 0

Subproblem 1

Set the factor '(1 + 5y4)' equal to zero and attempt to solve: Simplifying 1 + 5y4 = 0 Solving 1 + 5y4 = 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 + 5y4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y4 = 0 + -1 5y4 = 0 + -1 Combine like terms: 0 + -1 = -1 5y4 = -1 Divide each side by '5'. y4 = -0.2 Simplifying y4 = -0.2 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 + 5y4)' equal to zero and attempt to solve: Simplifying 1 + 5y4 = 0 Solving 1 + 5y4 = 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 + 5y4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y4 = 0 + -1 5y4 = 0 + -1 Combine like terms: 0 + -1 = -1 5y4 = -1 Divide each side by '5'. y4 = -0.2 Simplifying y4 = -0.2 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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