m^2=6+m

Solution for m^2=6+m equation:

Simplifying
m2 = 6 + m

Solving
m2 = 6 + m

Solving for variable 'm'.

Reorder the terms:
-6 + -1m + m2 = 6 + m + -6 + -1m

Reorder the terms:
-6 + -1m + m2 = 6 + -6 + m + -1m

Combine like terms: 6 + -6 = 0
-6 + -1m + m2 = 0 + m + -1m
-6 + -1m + m2 = m + -1m

Combine like terms: m + -1m = 0
-6 + -1m + m2 = 0

Factor a trinomial.
(-2 + -1m)(3 + -1m) = 0

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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1m = 0 + 2
-1m = 0 + 2

Combine like terms: 0 + 2 = 2
-1m = 2

Divide each side by '-1'.
m = -2

Simplifying
m = -2
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-2, 3}