14=(0)t+(0.5)(9.8)t^2

Solution for 14=(0)t+(0.5)(9.8)t^2 equation:

Simplifying
14 = (0) * t + (0.5)(9.8) * t2

Anything times zero is zero.
14 = 0t + (0.5)(9.8) * t2

Multiply 0.5 * 9.8
14 = 0 + 4.9t2
Remove the zero:
14 = 4.9t2

Solving
14 = 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.
14 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
14 + -4.9t2 = 0.0

Add '-14' to each side of the equation.
14 + -14 + -4.9t2 = 0.0 + -14

Combine like terms: 14 + -14 = 0
0 + -4.9t2 = 0.0 + -14
-4.9t2 = 0.0 + -14

Combine like terms: 0.0 + -14 = -14
-4.9t2 = -14

Divide each side by '-4.9'.
t2 = 2.857142857

Simplifying
t2 = 2.857142857

Take the square root of each side:
t = {-1.690308509, 1.690308509}