l(l-6)=216

Solution for l(l-6)=216 equation:

Simplifying
l(l + -6) = 216

Reorder the terms:
l(-6 + l) = 216
(-6 * l + l * l) = 216
(-6l + l2) = 216

Solving
-6l + l2 = 216

Solving for variable 'l'.

Reorder the terms:
-216 + -6l + l2 = 216 + -216

Combine like terms: 216 + -216 = 0
-216 + -6l + l2 = 0

Factor a trinomial.
(-12 + -1l)(18 + -1l) = 0

Subproblem 1
Set the factor '(-12 + -1l)' equal to zero and attempt to solve:

Simplifying
-12 + -1l = 0

Solving
-12 + -1l = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1l = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1l = 0 + 12
-1l = 0 + 12

Combine like terms: 0 + 12 = 12
-1l = 12

Divide each side by '-1'.
l = -12

Simplifying
l = -12
Subproblem 2
Set the factor '(18 + -1l)' equal to zero and attempt to solve:

Simplifying
18 + -1l = 0

Solving
18 + -1l = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1l = 0 + -18

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

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

Divide each side by '-1'.
l = 18

Simplifying
l = 18
Solution
l = {-12, 18}