m^2+22=23m

Solution for m^2+22=23m equation:

Simplifying
m2 + 22 = 23m

Reorder the terms:
22 + m2 = 23m

Solving
22 + m2 = 23m

Solving for variable 'm'.

Reorder the terms:
22 + -23m + m2 = 23m + -23m

Combine like terms: 23m + -23m = 0
22 + -23m + m2 = 0

Factor a trinomial.
(1 + -1m)(22 + -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 '(22 + -1m)' equal to zero and attempt to solve:

Simplifying
22 + -1m = 0

Solving
22 + -1m = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1m = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1m = 0 + -22
-1m = 0 + -22

Combine like terms: 0 + -22 = -22
-1m = -22

Divide each side by '-1'.
m = 22

Simplifying
m = 22
Solution
m = {1, 22}