L^2-15L+54=

Solution for L^2-15L+54= equation:

Simplifying
L2 + -15L + 54 = 0

Reorder the terms:
54 + -15L + L2 = 0

Solving
54 + -15L + L2 = 0

Solving for variable 'L'.

Factor a trinomial.
(6 + -1L)(9 + -1L) = 0

Subproblem 1
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
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 = {6, 9}