m^2=5m+6

Solution for m^2=5m+6 equation:

Simplifying
m2 = 5m + 6

Reorder the terms:
m2 = 6 + 5m

Solving
m2 = 6 + 5m

Solving for variable 'm'.

Reorder the terms:
-6 + -5m + m2 = 6 + 5m + -6 + -5m

Reorder the terms:
-6 + -5m + m2 = 6 + -6 + 5m + -5m

Combine like terms: 6 + -6 = 0
-6 + -5m + m2 = 0 + 5m + -5m
-6 + -5m + m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
-6 + -5m + m2 = 0

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

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

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

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

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

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

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

Simplifying
m = -1
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 = {-1, 6}