y^2-16y-80=0

Solution for y^2-16y-80=0 equation:

Simplifying
y2 + -16y + -80 = 0

Reorder the terms:
-80 + -16y + y2 = 0

Solving
-80 + -16y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -1y)(20 + -1y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(20 + -1y)' equal to zero and attempt to solve:

Simplifying
20 + -1y = 0

Solving
20 + -1y = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1y = 0 + -20

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

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

Divide each side by '-1'.
y = 20

Simplifying
y = 20
Solution
y = {-4, 20}