t^4-2t^2=0

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

Simplifying
t4 + -2t2 = 0

Reorder the terms:
-2t2 + t4 = 0

Solving
-2t2 + t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-2 + t2) = 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 '(-2 + t2)' equal to zero and attempt to solve:

Simplifying
-2 + t2 = 0

Solving
-2 + t2 = 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 + t2 = 0 + 2

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

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

Simplifying
t2 = 2

Take the square root of each side:
t = {-1.414213562, 1.414213562}
Solution
t = {0, -1.414213562, 1.414213562}