32=-16t^2+72

Solution for 32=-16t^2+72 equation:

Simplifying
32 = -16t2 + 72

Reorder the terms:
32 = 72 + -16t2

Solving
32 = 72 + -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.
32 + 16t2 = 72 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
32 + 16t2 = 72 + 0
32 + 16t2 = 72

Add '-32' to each side of the equation.
32 + -32 + 16t2 = 72 + -32

Combine like terms: 32 + -32 = 0
0 + 16t2 = 72 + -32
16t2 = 72 + -32

Combine like terms: 72 + -32 = 40
16t2 = 40

Divide each side by '16'.
t2 = 2.5

Simplifying
t2 = 2.5

Take the square root of each side:
t = {-1.58113883, 1.58113883}