-m^2+23m-42=0

Solution for -m^2+23m-42=0 equation:

Simplifying
-1m2 + 23m + -42 = 0

Reorder the terms:
-42 + 23m + -1m2 = 0

Solving
-42 + 23m + -1m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-21 + m)(2 + -1m) = 0

Subproblem 1
Set the factor '(-21 + m)' equal to zero and attempt to solve:

Simplifying
-21 + m = 0

Solving
-21 + m = 0

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

Add '21' to each side of the equation.
-21 + 21 + m = 0 + 21

Combine like terms: -21 + 21 = 0
0 + m = 0 + 21
m = 0 + 21

Combine like terms: 0 + 21 = 21
m = 21

Simplifying
m = 21
Subproblem 2
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
Solution
m = {21, 2}