89=4.9*t^2

Solution for 89=4.9*t^2 equation:

Simplifying
89 = 4.9t2

Solving
89 = 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.
89 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
89 + -4.9t2 = 0.0

Add '-89' to each side of the equation.
89 + -89 + -4.9t2 = 0.0 + -89

Combine like terms: 89 + -89 = 0
0 + -4.9t2 = 0.0 + -89
-4.9t2 = 0.0 + -89

Combine like terms: 0.0 + -89 = -89
-4.9t2 = -89

Divide each side by '-4.9'.
t2 = 18.16326531

Simplifying
t2 = 18.16326531

Take the square root of each side:
t = {-4.261838255, 4.261838255}