3t^4-t^2=0

Solution for 3t^4-t^2=0 equation:

Simplifying
3t4 + -1t2 = 0

Reorder the terms:
-1t2 + 3t4 = 0

Solving
-1t2 + 3t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-1 + 3t2) = 0

Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}
Subproblem 2
Set the factor '(-1 + 3t2)' equal to zero and attempt to solve:

Simplifying
-1 + 3t2 = 0

Solving
-1 + 3t2 = 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 + 3t2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3t2 = 0 + 1
3t2 = 0 + 1

Combine like terms: 0 + 1 = 1
3t2 = 1

Divide each side by '3'.
t2 = 0.3333333333

Simplifying
t2 = 0.3333333333

Take the square root of each side:
t = {-0.577350269, 0.577350269}
Solution
t = {0, -0.577350269, 0.577350269}