0=y^2-20y+64

Solution for 0=y^2-20y+64 equation:

Simplifying
0 = y2 + -20y + 64

Reorder the terms:
0 = 64 + -20y + y2

Solving
0 = 64 + -20y + y2

Solving for variable 'y'.

Combine like terms: 0 + -64 = -64
-64 + 20y + -1y2 = 64 + -20y + y2 + -64 + 20y + -1y2

Reorder the terms:
-64 + 20y + -1y2 = 64 + -64 + -20y + 20y + y2 + -1y2

Combine like terms: 64 + -64 = 0
-64 + 20y + -1y2 = 0 + -20y + 20y + y2 + -1y2
-64 + 20y + -1y2 = -20y + 20y + y2 + -1y2

Combine like terms: -20y + 20y = 0
-64 + 20y + -1y2 = 0 + y2 + -1y2
-64 + 20y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-64 + 20y + -1y2 = 0

Factor a trinomial.
(-16 + y)(4 + -1y) = 0

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

Simplifying
-16 + y = 0

Solving
-16 + y = 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 + y = 0 + 16

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

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

Simplifying
y = 16
Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {16, 4}