m^2-43m+42=0

Solution for m^2-43m+42=0 equation:

Simplifying
m2 + -43m + 42 = 0

Reorder the terms:
42 + -43m + m2 = 0

Solving
42 + -43m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(42 + -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 '(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 = {1, 42}