6=-16t^2+40+2

Solution for 6=-16t^2+40+2 equation:

Simplifying
6 = -16t2 + 40 + 2

Reorder the terms:
6 = 40 + 2 + -16t2

Combine like terms: 40 + 2 = 42
6 = 42 + -16t2

Solving
6 = 42 + -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.
6 + 16t2 = 42 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
6 + 16t2 = 42 + 0
6 + 16t2 = 42

Add '-6' to each side of the equation.
6 + -6 + 16t2 = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 16t2 = 42 + -6
16t2 = 42 + -6

Combine like terms: 42 + -6 = 36
16t2 = 36

Divide each side by '16'.
t2 = 2.25

Simplifying
t2 = 2.25

Take the square root of each side:
t = {-1.5, 1.5}