.75=.5(10)(t^2)

Solution for .75=.5(10)(t^2) equation:

Simplifying
0.75 = 0.5(10)(t2)

Multiply 0.5 * 10
0.75 = 5t2

Solving
0.75 = 5t2

Solving for variable 't'.

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

Add '-5t2' to each side of the equation.
0.75 + -5t2 = 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
0.75 + -5t2 = 0

Add '-0.75' to each side of the equation.
0.75 + -0.75 + -5t2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -5t2 = 0 + -0.75
-5t2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-5t2 = -0.75

Divide each side by '-5'.
t2 = 0.15

Simplifying
t2 = 0.15

Take the square root of each side:
t = {-0.387298335, 0.387298335}