m^2-20m-300=0

Solution for m^2-20m-300=0 equation:

Simplifying
m2 + -20m + -300 = 0

Reorder the terms:
-300 + -20m + m2 = 0

Solving
-300 + -20m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-10 + -1m)(30 + -1m) = 0

Subproblem 1
Set the factor '(-10 + -1m)' equal to zero and attempt to solve:

Simplifying
-10 + -1m = 0

Solving
-10 + -1m = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1m = 0 + 10
-1m = 0 + 10

Combine like terms: 0 + 10 = 10
-1m = 10

Divide each side by '-1'.
m = -10

Simplifying
m = -10
Subproblem 2
Set the factor '(30 + -1m)' equal to zero and attempt to solve:

Simplifying
30 + -1m = 0

Solving
30 + -1m = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1m = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1m = 0 + -30
-1m = 0 + -30

Combine like terms: 0 + -30 = -30
-1m = -30

Divide each side by '-1'.
m = 30

Simplifying
m = 30
Solution
m = {-10, 30}