y(y+2)=35

Solution for y(y+2)=35 equation:

Simplifying
y(y + 2) = 35

Reorder the terms:
y(2 + y) = 35
(2 * y + y * y) = 35
(2y + y2) = 35

Solving
2y + y2 = 35

Solving for variable 'y'.

Reorder the terms:
-35 + 2y + y2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 2y + y2 = 0

Factor a trinomial.
(-7 + -1y)(5 + -1y) = 0

Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-7, 5}