320=-16t^2+144t

Solution for 320=-16t^2+144t equation:

Simplifying
320 = -16t2 + 144t

Reorder the terms:
320 = 144t + -16t2

Solving
320 = 144t + -16t2

Solving for variable 't'.

Reorder the terms:
320 + -144t + 16t2 = 144t + -144t + -16t2 + 16t2

Combine like terms: 144t + -144t = 0
320 + -144t + 16t2 = 0 + -16t2 + 16t2
320 + -144t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
320 + -144t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(20 + -9t + t2) = 0

Factor a trinomial.
16((4 + -1t)(5 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {4, 5}