192=16t+16t^2

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

Simplifying
192 = 16t + 16t2

Solving
192 = 16t + 16t2

Solving for variable 't'.

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

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

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

Factor out the Greatest Common Factor (GCF), '16'.
16(12 + -1t + -1t2) = 0

Factor a trinomial.
16((3 + -1t)(4 + t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Subproblem 2
Set the factor '(4 + t)' equal to zero and attempt to solve:

Simplifying
4 + t = 0

Solving
4 + t = 0

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

Add '-4' to each side of the equation.
4 + -4 + t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + t = 0 + -4
t = 0 + -4

Combine like terms: 0 + -4 = -4
t = -4

Simplifying
t = -4
Solution
t = {3, -4}