m^2-7m-120=0

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Solution for m^2-7m-120=0 equation: 


Simplifying
m2 + -7m + -120 = 0

Reorder the terms:
-120 + -7m + m2 = 0

Solving
-120 + -7m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -1m)(15 + -1m) = 0


Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve:

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1m = 0 + 8
-1m = 0 + 8

Combine like terms: 0 + 8 = 8
-1m = 8

Divide each side by '-1'.
m = -8

Simplifying
m = -8

Subproblem 2
Set the factor '(15 + -1m)' equal to zero and attempt to solve:

Simplifying
15 + -1m = 0

Solving
15 + -1m = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1m = 0 + -15
-1m = 0 + -15

Combine like terms: 0 + -15 = -15
-1m = -15

Divide each side by '-1'.
m = 15

Simplifying
m = 15
Solution
m = {-8, 15}

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