y^2-80y+1024=0

Solution for y^2-80y+1024=0 equation:

Simplifying
y2 + -80y + 1024 = 0

Reorder the terms:
1024 + -80y + y2 = 0

Solving
1024 + -80y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(16 + -1y)(64 + -1y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(64 + -1y)' equal to zero and attempt to solve:

Simplifying
64 + -1y = 0

Solving
64 + -1y = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1y = 0 + -64

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

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

Divide each side by '-1'.
y = 64

Simplifying
y = 64
Solution
y = {16, 64}