45=-16t^2+45+6

Solution for 45=-16t^2+45+6 equation:

Simplifying
45 = -16t2 + 45 + 6

Reorder the terms:
45 = 45 + 6 + -16t2

Combine like terms: 45 + 6 = 51
45 = 51 + -16t2

Solving
45 = 51 + -16t2

Solving for variable 't'.

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

Add '16t2' to each side of the equation.
45 + 16t2 = 51 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
45 + 16t2 = 51 + 0
45 + 16t2 = 51

Add '-45' to each side of the equation.
45 + -45 + 16t2 = 51 + -45

Combine like terms: 45 + -45 = 0
0 + 16t2 = 51 + -45
16t2 = 51 + -45

Combine like terms: 51 + -45 = 6
16t2 = 6

Divide each side by '16'.
t2 = 0.375

Simplifying
t2 = 0.375

Take the square root of each side:
t = {-0.612372436, 0.612372436}