3.165=4.6t^2

Solution for 3.165=4.6t^2 equation:

Simplifying
3.165 = 4.6t2

Solving
3.165 = 4.6t2

Solving for variable 't'.

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

Add '-4.6t2' to each side of the equation.
3.165 + -4.6t2 = 4.6t2 + -4.6t2

Combine like terms: 4.6t2 + -4.6t2 = 0.0
3.165 + -4.6t2 = 0.0

Add '-3.165' to each side of the equation.
3.165 + -3.165 + -4.6t2 = 0.0 + -3.165

Combine like terms: 3.165 + -3.165 = 0.000
0.000 + -4.6t2 = 0.0 + -3.165
-4.6t2 = 0.0 + -3.165

Combine like terms: 0.0 + -3.165 = -3.165
-4.6t2 = -3.165

Divide each side by '-4.6'.
t2 = 0.6880434783

Simplifying
t2 = 0.6880434783

Take the square root of each side:
t = {-0.829483863, 0.829483863}