l^2+18l-243=0

Solution for l^2+18l-243=0 equation:

Simplifying
l2 + 18l + -243 = 0

Reorder the terms:
-243 + 18l + l2 = 0

Solving
-243 + 18l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-27 + -1l)(9 + -1l) = 0

Subproblem 1
Set the factor '(-27 + -1l)' equal to zero and attempt to solve:

Simplifying
-27 + -1l = 0

Solving
-27 + -1l = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1l = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1l = 0 + 27
-1l = 0 + 27

Combine like terms: 0 + 27 = 27
-1l = 27

Divide each side by '-1'.
l = -27

Simplifying
l = -27
Subproblem 2
Set the factor '(9 + -1l)' equal to zero and attempt to solve:

Simplifying
9 + -1l = 0

Solving
9 + -1l = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1l = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1l = 0 + -9
-1l = 0 + -9

Combine like terms: 0 + -9 = -9
-1l = -9

Divide each side by '-1'.
l = 9

Simplifying
l = 9
Solution
l = {-27, 9}