57=4.9*t^2

Solution for 57=4.9*t^2 equation:

Simplifying
57 = 4.9t2

Solving
57 = 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.
57 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
57 + -4.9t2 = 0.0

Add '-57' to each side of the equation.
57 + -57 + -4.9t2 = 0.0 + -57

Combine like terms: 57 + -57 = 0
0 + -4.9t2 = 0.0 + -57
-4.9t2 = 0.0 + -57

Combine like terms: 0.0 + -57 = -57
-4.9t2 = -57

Divide each side by '-4.9'.
t2 = 11.63265306

Simplifying
t2 = 11.63265306

Take the square root of each side:
t = {-3.410667539, 3.410667539}