71=125-16t^2

Solution for 71=125-16t^2 equation:

Simplifying
71 = 125 + -16t2

Solving
71 = 125 + -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.
71 + 16t2 = 125 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
71 + 16t2 = 125 + 0
71 + 16t2 = 125

Add '-71' to each side of the equation.
71 + -71 + 16t2 = 125 + -71

Combine like terms: 71 + -71 = 0
0 + 16t2 = 125 + -71
16t2 = 125 + -71

Combine like terms: 125 + -71 = 54
16t2 = 54

Divide each side by '16'.
t2 = 3.375

Simplifying
t2 = 3.375

Take the square root of each side:
t = {-1.837117307, 1.837117307}