(y+16)(y-20)=0

Solution for (y+16)(y-20)=0 equation:

Simplifying
(y + 16)(y + -20) = 0

Reorder the terms:
(16 + y)(y + -20) = 0

Reorder the terms:
(16 + y)(-20 + y) = 0

Multiply (16 + y) * (-20 + y)
(16(-20 + y) + y(-20 + y)) = 0
((-20 * 16 + y * 16) + y(-20 + y)) = 0
((-320 + 16y) + y(-20 + y)) = 0
(-320 + 16y + (-20 * y + y * y)) = 0
(-320 + 16y + (-20y + y2)) = 0

Combine like terms: 16y + -20y = -4y
(-320 + -4y + y2) = 0

Solving
-320 + -4y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-16 + -1y)(20 + -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 '(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 = {-16, 20}