L^2-25L+24=0

Solution for L^2-25L+24=0 equation:

Simplifying
L2 + -25L + 24 = 0

Reorder the terms:
24 + -25L + L2 = 0

Solving
24 + -25L + L2 = 0

Solving for variable 'L'.

Factor a trinomial.
(1 + -1L)(24 + -1L) = 0

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

Simplifying
1 + -1L = 0

Solving
1 + -1L = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1L = 0 + -1
-1L = 0 + -1

Combine like terms: 0 + -1 = -1
-1L = -1

Divide each side by '-1'.
L = 1

Simplifying
L = 1
Subproblem 2
Set the factor '(24 + -1L)' equal to zero and attempt to solve:

Simplifying
24 + -1L = 0

Solving
24 + -1L = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1L = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1L = 0 + -24
-1L = 0 + -24

Combine like terms: 0 + -24 = -24
-1L = -24

Divide each side by '-1'.
L = 24

Simplifying
L = 24
Solution
L = {1, 24}