t^4-28t^2=0

Solution for t^4-28t^2=0 equation:

Simplifying
t4 + -28t2 = 0

Reorder the terms:
-28t2 + t4 = 0

Solving
-28t2 + t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-28 + 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 '(-28 + t2)' equal to zero and attempt to solve:

Simplifying
-28 + t2 = 0

Solving
-28 + t2 = 0

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

Add '28' to each side of the equation.
-28 + 28 + t2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + t2 = 0 + 28
t2 = 0 + 28

Combine like terms: 0 + 28 = 28
t2 = 28

Simplifying
t2 = 28

Take the square root of each side:
t = {-5.291502622, 5.291502622}
Solution
t = {0, -5.291502622, 5.291502622}