3t^4-2t^2-8=

Solution for 3t^4-2t^2-8= equation:

Simplifying
3t4 + -2t2 + -8 = 0

Reorder the terms:
-8 + -2t2 + 3t4 = 0

Solving
-8 + -2t2 + 3t4 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -3t2)(2 + -1t2) = 0

Subproblem 1
Set the factor '(-4 + -3t2)' equal to zero and attempt to solve:

Simplifying
-4 + -3t2 = 0

Solving
-4 + -3t2 = 0

Move all terms containing t to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -3t2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3t2 = 0 + 4
-3t2 = 0 + 4

Combine like terms: 0 + 4 = 4
-3t2 = 4

Divide each side by '-3'.
t2 = -1.333333333

Simplifying
t2 = -1.333333333

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 '(2 + -1t2)' equal to zero and attempt to solve:

Simplifying
2 + -1t2 = 0

Solving
2 + -1t2 = 0

Move all terms containing t to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t2 = 0 + -2
-1t2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1t2 = -2

Divide each side by '-1'.
t2 = 2

Simplifying
t2 = 2

Take the square root of each side:
t = {-1.414213562, 1.414213562}
Solution
t = {-1.414213562, 1.414213562}