y^2-50y+225=0

Solution for y^2-50y+225=0 equation:

Simplifying
y2 + -50y + 225 = 0

Reorder the terms:
225 + -50y + y2 = 0

Solving
225 + -50y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -1y)(45 + -1y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(45 + -1y)' equal to zero and attempt to solve:

Simplifying
45 + -1y = 0

Solving
45 + -1y = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1y = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1y = 0 + -45
-1y = 0 + -45

Combine like terms: 0 + -45 = -45
-1y = -45

Divide each side by '-1'.
y = 45

Simplifying
y = 45
Solution
y = {5, 45}