2m^2-32m-72=0

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Solution for 2m^2-32m-72=0 equation: 


Simplifying
2m2 + -32m + -72 = 0

Reorder the terms:
-72 + -32m + 2m2 = 0

Solving
-72 + -32m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + -16m + m2) = 0

Factor a trinomial.
2((-2 + -1m)(18 + -1m)) = 0

Ignore the factor 2.

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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1m = 0 + 2
-1m = 0 + 2

Combine like terms: 0 + 2 = 2
-1m = 2

Divide each side by '-1'.
m = -2

Simplifying
m = -2

Subproblem 2
Set the factor '(18 + -1m)' equal to zero and attempt to solve:

Simplifying
18 + -1m = 0

Solving
18 + -1m = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1m = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1m = 0 + -18
-1m = 0 + -18

Combine like terms: 0 + -18 = -18
-1m = -18

Divide each side by '-1'.
m = 18

Simplifying
m = 18
Solution
m = {-2, 18}

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