-4.9t^2+30.5+8.9=0

Solution for -4.9t^2+30.5+8.9=0 equation:

Simplifying
-4.9t2 + 30.5 + 8.9 = 0

Reorder the terms:
30.5 + 8.9 + -4.9t2 = 0

Combine like terms: 30.5 + 8.9 = 39.4
39.4 + -4.9t2 = 0

Solving
39.4 + -4.9t2 = 0

Solving for variable 't'.

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

Add '-39.4' to each side of the equation.
39.4 + -39.4 + -4.9t2 = 0 + -39.4

Combine like terms: 39.4 + -39.4 = 0.0
0.0 + -4.9t2 = 0 + -39.4
-4.9t2 = 0 + -39.4

Combine like terms: 0 + -39.4 = -39.4
-4.9t2 = -39.4

Divide each side by '-4.9'.
t2 = 8.040816327

Simplifying
t2 = 8.040816327

Take the square root of each side:
t = {-2.83563332, 2.83563332}