(x+16)x=80

Solution for (x+16)x=80 equation:

Simplifying
(x + 16) * x = 80

Reorder the terms:
(16 + x) * x = 80

Reorder the terms for easier multiplication:
x(16 + x) = 80
(16 * x + x * x) = 80
(16x + x2) = 80

Solving
16x + x2 = 80

Solving for variable 'x'.

Reorder the terms:
-80 + 16x + x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + 16x + x2 = 0

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

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

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 0

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

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

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

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

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

Simplifying
x = -20
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

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

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

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

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

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