y^2-16y+64=25

Solution for y^2-16y+64=25 equation:

Simplifying
y2 + -16y + 64 = 25

Reorder the terms:
64 + -16y + y2 = 25

Solving
64 + -16y + y2 = 25

Solving for variable 'y'.

Reorder the terms:
64 + -25 + -16y + y2 = 25 + -25

Combine like terms: 64 + -25 = 39
39 + -16y + y2 = 25 + -25

Combine like terms: 25 + -25 = 0
39 + -16y + y2 = 0

Factor a trinomial.
(3 + -1y)(13 + -1y) = 0

Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Subproblem 2
Set the factor '(13 + -1y)' equal to zero and attempt to solve:

Simplifying
13 + -1y = 0

Solving
13 + -1y = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1y = 0 + -13
-1y = 0 + -13

Combine like terms: 0 + -13 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13
Solution
y = {3, 13}