(X)(X+16)=80

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

Simplifying
(X)(X + 16) = 80

Reorder the terms:
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}