.168=.5(9.8)t^2

Solution for .168=.5(9.8)t^2 equation:

Simplifying
0.168 = 0.5(9.8) * t2

Multiply 0.5 * 9.8
0.168 = 4.9t2

Solving
0.168 = 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.
0.168 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
0.168 + -4.9t2 = 0.0

Add '-0.168' to each side of the equation.
0.168 + -0.168 + -4.9t2 = 0.0 + -0.168

Combine like terms: 0.168 + -0.168 = 0.000
0.000 + -4.9t2 = 0.0 + -0.168
-4.9t2 = 0.0 + -0.168

Combine like terms: 0.0 + -0.168 = -0.168
-4.9t2 = -0.168

Divide each side by '-4.9'.
t2 = 0.03428571429

Simplifying
t2 = 0.03428571429

Take the square root of each side:
t = {-0.18516402, 0.18516402}