m^2-44m+84=0

Solution for m^2-44m+84=0 equation:

Simplifying
m2 + -44m + 84 = 0

Reorder the terms:
84 + -44m + m2 = 0

Solving
84 + -44m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -1m)(42 + -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 '(42 + -1m)' equal to zero and attempt to solve:

Simplifying
42 + -1m = 0

Solving
42 + -1m = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1m = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1m = 0 + -42
-1m = 0 + -42

Combine like terms: 0 + -42 = -42
-1m = -42

Divide each side by '-1'.
m = 42

Simplifying
m = 42
Solution
m = {2, 42}