y^2+y-12210=0

Solution for y^2+y-12210=0 equation:

Simplifying
y2 + y + -12210 = 0

Reorder the terms:
-12210 + y + y2 = 0

Solving
-12210 + y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-111 + -1y)(110 + -1y) = 0

Subproblem 1
Set the factor '(-111 + -1y)' equal to zero and attempt to solve:

Simplifying
-111 + -1y = 0

Solving
-111 + -1y = 0

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

Add '111' to each side of the equation.
-111 + 111 + -1y = 0 + 111

Combine like terms: -111 + 111 = 0
0 + -1y = 0 + 111
-1y = 0 + 111

Combine like terms: 0 + 111 = 111
-1y = 111

Divide each side by '-1'.
y = -111

Simplifying
y = -111
Subproblem 2
Set the factor '(110 + -1y)' equal to zero and attempt to solve:

Simplifying
110 + -1y = 0

Solving
110 + -1y = 0

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

Add '-110' to each side of the equation.
110 + -110 + -1y = 0 + -110

Combine like terms: 110 + -110 = 0
0 + -1y = 0 + -110
-1y = 0 + -110

Combine like terms: 0 + -110 = -110
-1y = -110

Divide each side by '-1'.
y = 110

Simplifying
y = 110
Solution
y = {-111, 110}