y^2-265y+17424=0

Solution for y^2-265y+17424=0 equation:

Simplifying
y2 + -265y + 17424 = 0

Reorder the terms:
17424 + -265y + y2 = 0

Solving
17424 + -265y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(121 + -1y)(144 + -1y) = 0

Subproblem 1
Set the factor '(121 + -1y)' equal to zero and attempt to solve:

Simplifying
121 + -1y = 0

Solving
121 + -1y = 0

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

Add '-121' to each side of the equation.
121 + -121 + -1y = 0 + -121

Combine like terms: 121 + -121 = 0
0 + -1y = 0 + -121
-1y = 0 + -121

Combine like terms: 0 + -121 = -121
-1y = -121

Divide each side by '-1'.
y = 121

Simplifying
y = 121
Subproblem 2
Set the factor '(144 + -1y)' equal to zero and attempt to solve:

Simplifying
144 + -1y = 0

Solving
144 + -1y = 0

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

Add '-144' to each side of the equation.
144 + -144 + -1y = 0 + -144

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

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

Divide each side by '-1'.
y = 144

Simplifying
y = 144
Solution
y = {121, 144}