l^2-50l+525=0

Solution for l^2-50l+525=0 equation:

Simplifying
l2 + -50l + 525 = 0

Reorder the terms:
525 + -50l + l2 = 0

Solving
525 + -50l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(15 + -1l)(35 + -1l) = 0

Subproblem 1
Set the factor '(15 + -1l)' equal to zero and attempt to solve:

Simplifying
15 + -1l = 0

Solving
15 + -1l = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1l = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1l = 0 + -15
-1l = 0 + -15

Combine like terms: 0 + -15 = -15
-1l = -15

Divide each side by '-1'.
l = 15

Simplifying
l = 15
Subproblem 2
Set the factor '(35 + -1l)' equal to zero and attempt to solve:

Simplifying
35 + -1l = 0

Solving
35 + -1l = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1l = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1l = 0 + -35
-1l = 0 + -35

Combine like terms: 0 + -35 = -35
-1l = -35

Divide each side by '-1'.
l = 35

Simplifying
l = 35
Solution
l = {15, 35}