m^2=48+2m

Solution for m^2=48+2m equation:

Simplifying
m2 = 48 + 2m

Solving
m2 = 48 + 2m

Solving for variable 'm'.

Reorder the terms:
-48 + -2m + m2 = 48 + 2m + -48 + -2m

Reorder the terms:
-48 + -2m + m2 = 48 + -48 + 2m + -2m

Combine like terms: 48 + -48 = 0
-48 + -2m + m2 = 0 + 2m + -2m
-48 + -2m + m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
-48 + -2m + m2 = 0

Factor a trinomial.
(-6 + -1m)(8 + -1m) = 0

Subproblem 1
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
Subproblem 2
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
Solution
m = {-6, 8}