y^2+35y=884

Solution for y^2+35y=884 equation:

Simplifying
y2 + 35y = 884

Reorder the terms:
35y + y2 = 884

Solving
35y + y2 = 884

Solving for variable 'y'.

Reorder the terms:
-884 + 35y + y2 = 884 + -884

Combine like terms: 884 + -884 = 0
-884 + 35y + y2 = 0

Factor a trinomial.
(-52 + -1y)(17 + -1y) = 0

Subproblem 1
Set the factor '(-52 + -1y)' equal to zero and attempt to solve:

Simplifying
-52 + -1y = 0

Solving
-52 + -1y = 0

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

Add '52' to each side of the equation.
-52 + 52 + -1y = 0 + 52

Combine like terms: -52 + 52 = 0
0 + -1y = 0 + 52
-1y = 0 + 52

Combine like terms: 0 + 52 = 52
-1y = 52

Divide each side by '-1'.
y = -52

Simplifying
y = -52
Subproblem 2
Set the factor '(17 + -1y)' equal to zero and attempt to solve:

Simplifying
17 + -1y = 0

Solving
17 + -1y = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1y = 0 + -17
-1y = 0 + -17

Combine like terms: 0 + -17 = -17
-1y = -17

Divide each side by '-1'.
y = 17

Simplifying
y = 17
Solution
y = {-52, 17}