(10+l)(6+l)=320

Solution for (10+l)(6+l)=320 equation:

Simplifying
(10 + l)(6 + l) = 320

Multiply (10 + l) * (6 + l)
(10(6 + l) + l(6 + l)) = 320
((6 * 10 + l * 10) + l(6 + l)) = 320
((60 + 10l) + l(6 + l)) = 320
(60 + 10l + (6 * l + l * l)) = 320
(60 + 10l + (6l + l2)) = 320

Combine like terms: 10l + 6l = 16l
(60 + 16l + l2) = 320

Solving
60 + 16l + l2 = 320

Solving for variable 'l'.

Reorder the terms:
60 + -320 + 16l + l2 = 320 + -320

Combine like terms: 60 + -320 = -260
-260 + 16l + l2 = 320 + -320

Combine like terms: 320 + -320 = 0
-260 + 16l + l2 = 0

Factor a trinomial.
(-26 + -1l)(10 + -1l) = 0

Subproblem 1
Set the factor '(-26 + -1l)' equal to zero and attempt to solve:

Simplifying
-26 + -1l = 0

Solving
-26 + -1l = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1l = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1l = 0 + 26
-1l = 0 + 26

Combine like terms: 0 + 26 = 26
-1l = 26

Divide each side by '-1'.
l = -26

Simplifying
l = -26
Subproblem 2
Set the factor '(10 + -1l)' equal to zero and attempt to solve:

Simplifying
10 + -1l = 0

Solving
10 + -1l = 0

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

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

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

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

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

Simplifying
l = 10
Solution
l = {-26, 10}