5t^4-3t^2=

Solution for 5t^4-3t^2= equation:

Simplifying
5t4 + -3t2 = 0

Reorder the terms:
-3t2 + 5t4 = 0

Solving
-3t2 + 5t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-3 + 5t2) = 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 '(-3 + 5t2)' equal to zero and attempt to solve:

Simplifying
-3 + 5t2 = 0

Solving
-3 + 5t2 = 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 + 5t2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5t2 = 0 + 3
5t2 = 0 + 3

Combine like terms: 0 + 3 = 3
5t2 = 3

Divide each side by '5'.
t2 = 0.6

Simplifying
t2 = 0.6

Take the square root of each side:
t = {-0.774596669, 0.774596669}
Solution
t = {0, -0.774596669, 0.774596669}