m^2-20m+19=0

Solution for m^2-20m+19=0 equation:

Simplifying
m2 + -20m + 19 = 0

Reorder the terms:
19 + -20m + m2 = 0

Solving
19 + -20m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(19 + -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 '(19 + -1m)' equal to zero and attempt to solve:

Simplifying
19 + -1m = 0

Solving
19 + -1m = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1m = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1m = 0 + -19
-1m = 0 + -19

Combine like terms: 0 + -19 = -19
-1m = -19

Divide each side by '-1'.
m = 19

Simplifying
m = 19
Solution
m = {1, 19}