80=(18-l)l

Solution for 80=(18-l)l equation:

Simplifying
80 = (18 + -1l) * l

Reorder the terms for easier multiplication:
80 = l(18 + -1l)
80 = (18 * l + -1l * l)
80 = (18l + -1l2)

Solving
80 = 18l + -1l2

Solving for variable 'l'.

Reorder the terms:
80 + -18l + l2 = 18l + -18l + -1l2 + l2

Combine like terms: 18l + -18l = 0
80 + -18l + l2 = 0 + -1l2 + l2
80 + -18l + l2 = -1l2 + l2

Combine like terms: -1l2 + l2 = 0
80 + -18l + l2 = 0

Factor a trinomial.
(8 + -1l)(10 + -1l) = 0

Subproblem 1
Set the factor '(8 + -1l)' equal to zero and attempt to solve:

Simplifying
8 + -1l = 0

Solving
8 + -1l = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1l = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1l = 0 + -8
-1l = 0 + -8

Combine like terms: 0 + -8 = -8
-1l = -8

Divide each side by '-1'.
l = 8

Simplifying
l = 8
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 = {8, 10}