-56+18l-l^2=0

Solution for -56+18l-l^2=0 equation:

Simplifying
-56 + 18l + -1l2 = 0

Solving
-56 + 18l + -1l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-14 + l)(4 + -1l) = 0

Subproblem 1
Set the factor '(-14 + l)' equal to zero and attempt to solve:

Simplifying
-14 + l = 0

Solving
-14 + l = 0

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

Add '14' to each side of the equation.
-14 + 14 + l = 0 + 14

Combine like terms: -14 + 14 = 0
0 + l = 0 + 14
l = 0 + 14

Combine like terms: 0 + 14 = 14
l = 14

Simplifying
l = 14
Subproblem 2
Set the factor '(4 + -1l)' equal to zero and attempt to solve:

Simplifying
4 + -1l = 0

Solving
4 + -1l = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1l = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1l = 0 + -4
-1l = 0 + -4

Combine like terms: 0 + -4 = -4
-1l = -4

Divide each side by '-1'.
l = 4

Simplifying
l = 4
Solution
l = {14, 4}