m^2+4m-96=0

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Solution for m^2+4m-96=0 equation: 


Simplifying
m2 + 4m + -96 = 0

Reorder the terms:
-96 + 4m + m2 = 0

Solving
-96 + 4m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-12 + -1m)(8 + -1m) = 0


Subproblem 1
Set the factor '(-12 + -1m)' equal to zero and attempt to solve:

Simplifying
-12 + -1m = 0

Solving
-12 + -1m = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1m = 0 + 12
-1m = 0 + 12

Combine like terms: 0 + 12 = 12
-1m = 12

Divide each side by '-1'.
m = -12

Simplifying
m = -12

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 = {-12, 8}

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