12=(.5)(9.8)t^2

Solution for 12=(.5)(9.8)t^2 equation:

Simplifying
12 = (0.5)(9.8) * t2

Multiply 0.5 * 9.8
12 = 4.9t2

Solving
12 = 4.9t2

Solving for variable 't'.

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

Add '-4.9t2' to each side of the equation.
12 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
12 + -4.9t2 = 0.0

Add '-12' to each side of the equation.
12 + -12 + -4.9t2 = 0.0 + -12

Combine like terms: 12 + -12 = 0
0 + -4.9t2 = 0.0 + -12
-4.9t2 = 0.0 + -12

Combine like terms: 0.0 + -12 = -12
-4.9t2 = -12

Divide each side by '-4.9'.
t2 = 2.448979592

Simplifying
t2 = 2.448979592

Take the square root of each side:
t = {-1.564921593, 1.564921593}