m^2+16m-192=0

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Solution for m^2+16m-192=0 equation: 


Simplifying
m2 + 16m + -192 = 0

Reorder the terms:
-192 + 16m + m2 = 0

Solving
-192 + 16m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-24 + -1m)(8 + -1m) = 0


Subproblem 1
Set the factor '(-24 + -1m)' equal to zero and attempt to solve:

Simplifying
-24 + -1m = 0

Solving
-24 + -1m = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1m = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1m = 0 + 24
-1m = 0 + 24

Combine like terms: 0 + 24 = 24
-1m = 24

Divide each side by '-1'.
m = -24

Simplifying
m = -24

Subproblem 2
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
Solution
m = {-24, 8}

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