y^2+y-25760=0

Solution for y^2+y-25760=0 equation:

Simplifying
y2 + y + -25760 = 0

Reorder the terms:
-25760 + y + y2 = 0

Solving
-25760 + y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-161 + -1y)(160 + -1y) = 0

Subproblem 1
Set the factor '(-161 + -1y)' equal to zero and attempt to solve:

Simplifying
-161 + -1y = 0

Solving
-161 + -1y = 0

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

Add '161' to each side of the equation.
-161 + 161 + -1y = 0 + 161

Combine like terms: -161 + 161 = 0
0 + -1y = 0 + 161
-1y = 0 + 161

Combine like terms: 0 + 161 = 161
-1y = 161

Divide each side by '-1'.
y = -161

Simplifying
y = -161
Subproblem 2
Set the factor '(160 + -1y)' equal to zero and attempt to solve:

Simplifying
160 + -1y = 0

Solving
160 + -1y = 0

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

Add '-160' to each side of the equation.
160 + -160 + -1y = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -1y = 0 + -160
-1y = 0 + -160

Combine like terms: 0 + -160 = -160
-1y = -160

Divide each side by '-1'.
y = 160

Simplifying
y = 160
Solution
y = {-161, 160}