192=-16t^2+112t

Solution for 192=-16t^2+112t equation:

Simplifying
192 = -16t2 + 112t

Reorder the terms:
192 = 112t + -16t2

Solving
192 = 112t + -16t2

Solving for variable 't'.

Reorder the terms:
192 + -112t + 16t2 = 112t + -112t + -16t2 + 16t2

Combine like terms: 112t + -112t = 0
192 + -112t + 16t2 = 0 + -16t2 + 16t2
192 + -112t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
192 + -112t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(12 + -7t + t2) = 0

Factor a trinomial.
16((3 + -1t)(4 + -1t)) = 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 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 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 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

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