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.
(-30 + -1m)(10 + -1m) = 0

Subproblem 1
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
Subproblem 2
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
Solution
m = {-30, 10}