y^2=35y-300

Solution for y^2=35y-300 equation:

Simplifying
y2 = 35y + -300

Reorder the terms:
y2 = -300 + 35y

Solving
y2 = -300 + 35y

Solving for variable 'y'.

Reorder the terms:
300 + -35y + y2 = -300 + 35y + 300 + -35y

Reorder the terms:
300 + -35y + y2 = -300 + 300 + 35y + -35y

Combine like terms: -300 + 300 = 0
300 + -35y + y2 = 0 + 35y + -35y
300 + -35y + y2 = 35y + -35y

Combine like terms: 35y + -35y = 0
300 + -35y + y2 = 0

Factor a trinomial.
(15 + -1y)(20 + -1y) = 0

Subproblem 1
Set the factor '(15 + -1y)' equal to zero and attempt to solve:

Simplifying
15 + -1y = 0

Solving
15 + -1y = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1y = 0 + -15
-1y = 0 + -15

Combine like terms: 0 + -15 = -15
-1y = -15

Divide each side by '-1'.
y = 15

Simplifying
y = 15
Subproblem 2
Set the factor '(20 + -1y)' equal to zero and attempt to solve:

Simplifying
20 + -1y = 0

Solving
20 + -1y = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1y = 0 + -20
-1y = 0 + -20

Combine like terms: 0 + -20 = -20
-1y = -20

Divide each side by '-1'.
y = 20

Simplifying
y = 20
Solution
y = {15, 20}