65=(0.5)(9.81)t^2

Solution for 65=(0.5)(9.81)t^2 equation:

Simplifying
65 = (0.5)(9.81) * t2

Multiply 0.5 * 9.81
65 = 4.905t2

Solving
65 = 4.905t2

Solving for variable 't'.

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

Add '-4.905t2' to each side of the equation.
65 + -4.905t2 = 4.905t2 + -4.905t2

Combine like terms: 4.905t2 + -4.905t2 = 0.000
65 + -4.905t2 = 0.000

Add '-65' to each side of the equation.
65 + -65 + -4.905t2 = 0.000 + -65

Combine like terms: 65 + -65 = 0
0 + -4.905t2 = 0.000 + -65
-4.905t2 = 0.000 + -65

Combine like terms: 0.000 + -65 = -65
-4.905t2 = -65

Divide each side by '-4.905'.
t2 = 13.25178389

Simplifying
t2 = 13.25178389

Take the square root of each side:
t = {-3.640299973, 3.640299973}