y+y^2=1260

Solution for y+y^2=1260 equation:

Simplifying
y + y2 = 1260

Solving
y + y2 = 1260

Solving for variable 'y'.

Reorder the terms:
-1260 + y + y2 = 1260 + -1260

Combine like terms: 1260 + -1260 = 0
-1260 + y + y2 = 0

Factor a trinomial.
(-36 + -1y)(35 + -1y) = 0

Subproblem 1
Set the factor '(-36 + -1y)' equal to zero and attempt to solve:

Simplifying
-36 + -1y = 0

Solving
-36 + -1y = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1y = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1y = 0 + 36
-1y = 0 + 36

Combine like terms: 0 + 36 = 36
-1y = 36

Divide each side by '-1'.
y = -36

Simplifying
y = -36
Subproblem 2
Set the factor '(35 + -1y)' equal to zero and attempt to solve:

Simplifying
35 + -1y = 0

Solving
35 + -1y = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1y = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1y = 0 + -35
-1y = 0 + -35

Combine like terms: 0 + -35 = -35
-1y = -35

Divide each side by '-1'.
y = 35

Simplifying
y = 35
Solution
y = {-36, 35}