6720=2288t-16t^2

Solution for 6720=2288t-16t^2 equation:

Simplifying
6720 = 2288t + -16t2

Solving
6720 = 2288t + -16t2

Solving for variable 't'.

Reorder the terms:
6720 + -2288t + 16t2 = 2288t + -2288t + -16t2 + 16t2

Combine like terms: 2288t + -2288t = 0
6720 + -2288t + 16t2 = 0 + -16t2 + 16t2
6720 + -2288t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
6720 + -2288t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(420 + -143t + t2) = 0

Factor a trinomial.
16((3 + -1t)(140 + -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 '(140 + -1t)' equal to zero and attempt to solve:

Simplifying
140 + -1t = 0

Solving
140 + -1t = 0

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

Add '-140' to each side of the equation.
140 + -140 + -1t = 0 + -140

Combine like terms: 140 + -140 = 0
0 + -1t = 0 + -140
-1t = 0 + -140

Combine like terms: 0 + -140 = -140
-1t = -140

Divide each side by '-1'.
t = 140

Simplifying
t = 140
Solution
t = {3, 140}