l^2-6l-475=0

Solution for l^2-6l-475=0 equation:

Simplifying
l2 + -6l + -475 = 0

Reorder the terms:
-475 + -6l + l2 = 0

Solving
-475 + -6l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-19 + -1l)(25 + -1l) = 0

Subproblem 1
Set the factor '(-19 + -1l)' equal to zero and attempt to solve:

Simplifying
-19 + -1l = 0

Solving
-19 + -1l = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1l = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1l = 0 + 19
-1l = 0 + 19

Combine like terms: 0 + 19 = 19
-1l = 19

Divide each side by '-1'.
l = -19

Simplifying
l = -19
Subproblem 2
Set the factor '(25 + -1l)' equal to zero and attempt to solve:

Simplifying
25 + -1l = 0

Solving
25 + -1l = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1l = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1l = 0 + -25
-1l = 0 + -25

Combine like terms: 0 + -25 = -25
-1l = -25

Divide each side by '-1'.
l = 25

Simplifying
l = 25
Solution
l = {-19, 25}