m^2+69m-6120=0

Solution for m^2+69m-6120=0 equation:

Simplifying
m2 + 69m + -6120 = 0

Reorder the terms:
-6120 + 69m + m2 = 0

Solving
-6120 + 69m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-120 + -1m)(51 + -1m) = 0

Subproblem 1
Set the factor '(-120 + -1m)' equal to zero and attempt to solve:

Simplifying
-120 + -1m = 0

Solving
-120 + -1m = 0

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

Add '120' to each side of the equation.
-120 + 120 + -1m = 0 + 120

Combine like terms: -120 + 120 = 0
0 + -1m = 0 + 120
-1m = 0 + 120

Combine like terms: 0 + 120 = 120
-1m = 120

Divide each side by '-1'.
m = -120

Simplifying
m = -120
Subproblem 2
Set the factor '(51 + -1m)' equal to zero and attempt to solve:

Simplifying
51 + -1m = 0

Solving
51 + -1m = 0

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

Add '-51' to each side of the equation.
51 + -51 + -1m = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -1m = 0 + -51
-1m = 0 + -51

Combine like terms: 0 + -51 = -51
-1m = -51

Divide each side by '-1'.
m = 51

Simplifying
m = 51
Solution
m = {-120, 51}