y^2-10*y+25=121

Solution for y^2-10*y+25=121 equation:

Simplifying
y2 + -10y + 25 = 121

Reorder the terms:
25 + -10y + y2 = 121

Solving
25 + -10y + y2 = 121

Solving for variable 'y'.

Reorder the terms:
25 + -121 + -10y + y2 = 121 + -121

Combine like terms: 25 + -121 = -96
-96 + -10y + y2 = 121 + -121

Combine like terms: 121 + -121 = 0
-96 + -10y + y2 = 0

Factor a trinomial.
(-6 + -1y)(16 + -1y) = 0

Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve:

Simplifying
-6 + -1y = 0

Solving
-6 + -1y = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 0 + 6
-1y = 0 + 6

Combine like terms: 0 + 6 = 6
-1y = 6

Divide each side by '-1'.
y = -6

Simplifying
y = -6
Subproblem 2
Set the factor '(16 + -1y)' equal to zero and attempt to solve:

Simplifying
16 + -1y = 0

Solving
16 + -1y = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = 0 + -16
-1y = 0 + -16

Combine like terms: 0 + -16 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16
Solution
y = {-6, 16}