576=-16t^2+192t

Solution for 576=-16t^2+192t equation:

Simplifying
576 = -16t2 + 192t

Reorder the terms:
576 = 192t + -16t2

Solving
576 = 192t + -16t2

Solving for variable 't'.

Reorder the terms:
576 + -192t + 16t2 = 192t + -192t + -16t2 + 16t2

Combine like terms: 192t + -192t = 0
576 + -192t + 16t2 = 0 + -16t2 + 16t2
576 + -192t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
576 + -192t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(36 + -12t + t2) = 0

Factor a trinomial.
16((6 + -1t)(6 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {6, 6}