5m^2-31m-72=0

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Solution for 5m^2-31m-72=0 equation: 


Simplifying
5m2 + -31m + -72 = 0

Reorder the terms:
-72 + -31m + 5m2 = 0

Solving
-72 + -31m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -5m)(8 + -1m) = 0


Subproblem 1
Set the factor '(-9 + -5m)' equal to zero and attempt to solve:

Simplifying
-9 + -5m = 0

Solving
-9 + -5m = 0

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

Add '9' to each side of the equation.
-9 + 9 + -5m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5m = 0 + 9
-5m = 0 + 9

Combine like terms: 0 + 9 = 9
-5m = 9

Divide each side by '-5'.
m = -1.8

Simplifying
m = -1.8

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 = {-1.8, 8}

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