L^2-9L+18=0

Solution for L^2-9L+18=0 equation:

Simplifying
L2 + -9L + 18 = 0

Reorder the terms:
18 + -9L + L2 = 0

Solving
18 + -9L + L2 = 0

Solving for variable 'L'.

Factor a trinomial.
(3 + -1L)(6 + -1L) = 0

Subproblem 1
Set the factor '(3 + -1L)' equal to zero and attempt to solve:

Simplifying
3 + -1L = 0

Solving
3 + -1L = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1L = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1L = 0 + -3
-1L = 0 + -3

Combine like terms: 0 + -3 = -3
-1L = -3

Divide each side by '-1'.
L = 3

Simplifying
L = 3
Subproblem 2
Set the factor '(6 + -1L)' equal to zero and attempt to solve:

Simplifying
6 + -1L = 0

Solving
6 + -1L = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1L = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1L = 0 + -6
-1L = 0 + -6

Combine like terms: 0 + -6 = -6
-1L = -6

Divide each side by '-1'.
L = 6

Simplifying
L = 6
Solution
L = {3, 6}