y^2-40y+300=

Solution for y^2-40y+300= equation:

Simplifying
y2 + -40y + 300 = 0

Reorder the terms:
300 + -40y + y2 = 0

Solving
300 + -40y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(10 + -1y)(30 + -1y) = 0

Subproblem 1
Set the factor '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10
Subproblem 2
Set the factor '(30 + -1y)' equal to zero and attempt to solve:

Simplifying
30 + -1y = 0

Solving
30 + -1y = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1y = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1y = 0 + -30
-1y = 0 + -30

Combine like terms: 0 + -30 = -30
-1y = -30

Divide each side by '-1'.
y = 30

Simplifying
y = 30
Solution
y = {10, 30}