y^2-36=35y

Solution for y^2-36=35y equation:

Simplifying
y2 + -36 = 35y

Reorder the terms:
-36 + y2 = 35y

Solving
-36 + y2 = 35y

Solving for variable 'y'.

Reorder the terms:
-36 + -35y + y2 = 35y + -35y

Combine like terms: 35y + -35y = 0
-36 + -35y + y2 = 0

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

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

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 0

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

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

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

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

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

Simplifying
y = -1
Subproblem 2
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
Solution
y = {-1, 36}