-l^2+14l-48=0

Solution for -l^2+14l-48=0 equation:

Simplifying
-1l2 + 14l + -48 = 0

Reorder the terms:
-48 + 14l + -1l2 = 0

Solving
-48 + 14l + -1l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-8 + l)(6 + -1l) = 0

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

Simplifying
-8 + l = 0

Solving
-8 + l = 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 + l = 0 + 8

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

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

Simplifying
l = 8
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 = {8, 6}