t^2-160t+2304=0

Solution for t^2-160t+2304=0 equation:

Simplifying
t2 + -160t + 2304 = 0

Reorder the terms:
2304 + -160t + t2 = 0

Solving
2304 + -160t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(16 + -1t)(144 + -1t) = 0

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

Simplifying
16 + -1t = 0

Solving
16 + -1t = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1t = 0 + -16
-1t = 0 + -16

Combine like terms: 0 + -16 = -16
-1t = -16

Divide each side by '-1'.
t = 16

Simplifying
t = 16
Subproblem 2
Set the factor '(144 + -1t)' equal to zero and attempt to solve:

Simplifying
144 + -1t = 0

Solving
144 + -1t = 0

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

Add '-144' to each side of the equation.
144 + -144 + -1t = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -1t = 0 + -144
-1t = 0 + -144

Combine like terms: 0 + -144 = -144
-1t = -144

Divide each side by '-1'.
t = 144

Simplifying
t = 144
Solution
t = {16, 144}