-m^2+9m-14=0

Solution for -m^2+9m-14=0 equation:

Simplifying
-1m2 + 9m + -14 = 0

Reorder the terms:
-14 + 9m + -1m2 = 0

Solving
-14 + 9m + -1m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + m)(2 + -1m) = 0

Subproblem 1
Set the factor '(-7 + m)' equal to zero and attempt to solve:

Simplifying
-7 + m = 0

Solving
-7 + m = 0

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

Add '7' to each side of the equation.
-7 + 7 + m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + m = 0 + 7
m = 0 + 7

Combine like terms: 0 + 7 = 7
m = 7

Simplifying
m = 7
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 = {7, 2}