24=m^2-5m

Solution for 24=m^2-5m equation:

Simplifying
24 = m2 + -5m

Reorder the terms:
24 = -5m + m2

Solving
24 = -5m + m2

Solving for variable 'm'.

Reorder the terms:
24 + 5m + -1m2 = -5m + 5m + m2 + -1m2

Combine like terms: -5m + 5m = 0
24 + 5m + -1m2 = 0 + m2 + -1m2
24 + 5m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
24 + 5m + -1m2 = 0

Factor a trinomial.
(8 + -1m)(3 + m) = 0

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

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {8, -3}