m^2=2m+24

Solution for m^2=2m+24 equation:

Simplifying
m2 = 2m + 24

Reorder the terms:
m2 = 24 + 2m

Solving
m2 = 24 + 2m

Solving for variable 'm'.

Reorder the terms:
-24 + -2m + m2 = 24 + 2m + -24 + -2m

Reorder the terms:
-24 + -2m + m2 = 24 + -24 + 2m + -2m

Combine like terms: 24 + -24 = 0
-24 + -2m + m2 = 0 + 2m + -2m
-24 + -2m + m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
-24 + -2m + m2 = 0

Factor a trinomial.
(-4 + -1m)(6 + -1m) = 0

Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

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

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

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

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

Simplifying
m = -4
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {-4, 6}