26=(.5)(9.8)t^2

Solution for 26=(.5)(9.8)t^2 equation:

Simplifying
26 = (0.5)(9.8) * t2

Multiply 0.5 * 9.8
26 = 4.9t2

Solving
26 = 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.
26 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
26 + -4.9t2 = 0.0

Add '-26' to each side of the equation.
26 + -26 + -4.9t2 = 0.0 + -26

Combine like terms: 26 + -26 = 0
0 + -4.9t2 = 0.0 + -26
-4.9t2 = 0.0 + -26

Combine like terms: 0.0 + -26 = -26
-4.9t2 = -26

Divide each side by '-4.9'.
t2 = 5.306122449

Simplifying
t2 = 5.306122449

Take the square root of each side:
t = {-2.303502214, 2.303502214}