500=t^2*0.25

Solution for 500=t^2*0.25 equation:

Simplifying
500 = t2 * 0.25

Reorder the terms for easier multiplication:
500 = 0.25t2

Solving
500 = 0.25t2

Solving for variable 't'.

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

Add '-0.25t2' to each side of the equation.
500 + -0.25t2 = 0.25t2 + -0.25t2

Combine like terms: 0.25t2 + -0.25t2 = 0.00
500 + -0.25t2 = 0.00

Add '-500' to each side of the equation.
500 + -500 + -0.25t2 = 0.00 + -500

Combine like terms: 500 + -500 = 0
0 + -0.25t2 = 0.00 + -500
-0.25t2 = 0.00 + -500

Combine like terms: 0.00 + -500 = -500
-0.25t2 = -500

Divide each side by '-0.25'.
t2 = 2000

Simplifying
t2 = 2000

Take the square root of each side:
t = {-44.72135955, 44.72135955}