m^2-6m-112=0

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Solution for m^2-6m-112=0 equation: 


Simplifying
m2 + -6m + -112 = 0

Reorder the terms:
-112 + -6m + m2 = 0

Solving
-112 + -6m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -1m)(14 + -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 '(14 + -1m)' equal to zero and attempt to solve:

Simplifying
14 + -1m = 0

Solving
14 + -1m = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1m = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1m = 0 + -14
-1m = 0 + -14

Combine like terms: 0 + -14 = -14
-1m = -14

Divide each side by '-1'.
m = 14

Simplifying
m = 14
Solution
m = {-8, 14}

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