-0.5(4.905)t^2+45=0

Solution for -0.5(4.905)t^2+45=0 equation:

Simplifying
-0.5(4.905) * t2 + 45 = 0

Multiply -0.5 * 4.905
-2.4525t2 + 45 = 0

Reorder the terms:
45 + -2.4525t2 = 0

Solving
45 + -2.4525t2 = 0

Solving for variable 't'.

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

Add '-45' to each side of the equation.
45 + -45 + -2.4525t2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -2.4525t2 = 0 + -45
-2.4525t2 = 0 + -45

Combine like terms: 0 + -45 = -45
-2.4525t2 = -45

Divide each side by '-2.4525'.
t2 = 18.34862385

Simplifying
t2 = 18.34862385

Take the square root of each side:
t = {-4.283529368, 4.283529368}