5t^2-180=0

Solution for 5t^2-180=0 equation:

Simplifying
5t2 + -180 = 0

Reorder the terms:
-180 + 5t2 = 0

Solving
-180 + 5t2 = 0

Solving for variable 't'.

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

Add '180' to each side of the equation.
-180 + 180 + 5t2 = 0 + 180

Combine like terms: -180 + 180 = 0
0 + 5t2 = 0 + 180
5t2 = 0 + 180

Combine like terms: 0 + 180 = 180
5t2 = 180

Divide each side by '5'.
t2 = 36

Simplifying
t2 = 36

Take the square root of each side:
t = {-6, 6}