t^4+81t^2+80=0

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Solution for t^4+81t^2+80=0 equation:


Simplifying
t4 + 81t2 + 80 = 0

Reorder the terms:
80 + 81t2 + t4 = 0

Solving
80 + 81t2 + t4 = 0

Solving for variable 't'.

Factor a trinomial.
(80 + t2)(1 + t2) = 0

Subproblem 1

Set the factor '(80 + t2)' equal to zero and attempt to solve: Simplifying 80 + t2 = 0 Solving 80 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + t2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + t2 = 0 + -80 t2 = 0 + -80 Combine like terms: 0 + -80 = -80 t2 = -80 Simplifying t2 = -80 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 + t2)' equal to zero and attempt to solve: Simplifying 1 + t2 = 0 Solving 1 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t2 = 0 + -1 t2 = 0 + -1 Combine like terms: 0 + -1 = -1 t2 = -1 Simplifying t2 = -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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