y(y-8)=20

Solution for y(y-8)=20 equation:

Simplifying
y(y + -8) = 20

Reorder the terms:
y(-8 + y) = 20
(-8 * y + y * y) = 20
(-8y + y2) = 20

Solving
-8y + y2 = 20

Solving for variable 'y'.

Reorder the terms:
-20 + -8y + y2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -8y + y2 = 0

Factor a trinomial.
(-2 + -1y)(10 + -1y) = 0

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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2
Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10
Solution
y = {-2, 10}