54.6=4.9t^2

Solution for 54.6=4.9t^2 equation:

Simplifying
54.6 = 4.9t2

Solving
54.6 = 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.
54.6 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
54.6 + -4.9t2 = 0.0

Add '-54.6' to each side of the equation.
54.6 + -54.6 + -4.9t2 = 0.0 + -54.6

Combine like terms: 54.6 + -54.6 = 0.0
0.0 + -4.9t2 = 0.0 + -54.6
-4.9t2 = 0.0 + -54.6

Combine like terms: 0.0 + -54.6 = -54.6
-4.9t2 = -54.6

Divide each side by '-4.9'.
t2 = 11.14285714

Simplifying
t2 = 11.14285714

Take the square root of each side:
t = {-3.338091841, 3.338091841}