162=.5t*.5t

Solution for 162=.5t*.5t equation:

Simplifying
162 = 0.5t * 0.5t

Reorder the terms for easier multiplication:
162 = 0.5 * 0.5t * t

Multiply 0.5 * 0.5
162 = 0.25t * t

Multiply t * t
162 = 0.25t2

Solving
162 = 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.
162 + -0.25t2 = 0.25t2 + -0.25t2

Combine like terms: 0.25t2 + -0.25t2 = 0.00
162 + -0.25t2 = 0.00

Add '-162' to each side of the equation.
162 + -162 + -0.25t2 = 0.00 + -162

Combine like terms: 162 + -162 = 0
0 + -0.25t2 = 0.00 + -162
-0.25t2 = 0.00 + -162

Combine like terms: 0.00 + -162 = -162
-0.25t2 = -162

Divide each side by '-0.25'.
t2 = 648

Simplifying
t2 = 648

Take the square root of each side:
t = {-25.455844123, 25.455844123}