5t^4-30t^2=0

Solution for 5t^4-30t^2=0 equation:

Simplifying
5t4 + -30t2 = 0

Reorder the terms:
-30t2 + 5t4 = 0

Solving
-30t2 + 5t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5t2'.
5t2(-6 + t2) = 0

Ignore the factor 5.
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 '(-6 + t2)' equal to zero and attempt to solve:

Simplifying
-6 + t2 = 0

Solving
-6 + t2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + t2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + t2 = 0 + 6
t2 = 0 + 6

Combine like terms: 0 + 6 = 6
t2 = 6

Simplifying
t2 = 6

Take the square root of each side:
t = {-2.449489743, 2.449489743}
Solution
t = {0, -2.449489743, 2.449489743}