-m^2+23m+50=0

Solution for -m^2+23m+50=0 equation:

Simplifying
-1m2 + 23m + 50 = 0

Reorder the terms:
50 + 23m + -1m2 = 0

Solving
50 + 23m + -1m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(25 + -1m)(2 + m) = 0

Subproblem 1
Set the factor '(25 + -1m)' equal to zero and attempt to solve:

Simplifying
25 + -1m = 0

Solving
25 + -1m = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1m = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1m = 0 + -25
-1m = 0 + -25

Combine like terms: 0 + -25 = -25
-1m = -25

Divide each side by '-1'.
m = 25

Simplifying
m = 25
Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 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 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Solution
m = {25, -2}