4t^4-13t^2=12

Solution for 4t^4-13t^2=12 equation:

Simplifying
4t4 + -13t2 = 12

Reorder the terms:
-13t2 + 4t4 = 12

Solving
-13t2 + 4t4 = 12

Solving for variable 't'.

Reorder the terms:
-12 + -13t2 + 4t4 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -13t2 + 4t4 = 0

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

Factor a difference between two squares.
(-3 + -4t2)((2 + t)(2 + -1t)) = 0

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

Simplifying
-3 + -4t2 = 0

Solving
-3 + -4t2 = 0

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

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

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

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

Divide each side by '-4'.
t2 = -0.75

Simplifying
t2 = -0.75

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 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 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 + t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t = 0 + -2
t = 0 + -2

Combine like terms: 0 + -2 = -2
t = -2

Simplifying
t = -2
Subproblem 3
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 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 + -1t = 0 + -2

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

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

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {-2, 2}