200=.5(5)t^2

Solution for 200=.5(5)t^2 equation:

Simplifying
200 = 0.5(5) * t2

Multiply 0.5 * 5
200 = 2.5t2

Solving
200 = 2.5t2

Solving for variable 't'.

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

Add '-2.5t2' to each side of the equation.
200 + -2.5t2 = 2.5t2 + -2.5t2

Combine like terms: 2.5t2 + -2.5t2 = 0.0
200 + -2.5t2 = 0.0

Add '-200' to each side of the equation.
200 + -200 + -2.5t2 = 0.0 + -200

Combine like terms: 200 + -200 = 0
0 + -2.5t2 = 0.0 + -200
-2.5t2 = 0.0 + -200

Combine like terms: 0.0 + -200 = -200
-2.5t2 = -200

Divide each side by '-2.5'.
t2 = 80

Simplifying
t2 = 80

Take the square root of each side:
t = {-8.94427191, 8.94427191}