4m^2-44m=-72

Solution for 4m^2-44m=-72 equation:

Simplifying
4m2 + -44m = -72

Reorder the terms:
-44m + 4m2 = -72

Solving
-44m + 4m2 = -72

Solving for variable 'm'.

Reorder the terms:
72 + -44m + 4m2 = -72 + 72

Combine like terms: -72 + 72 = 0
72 + -44m + 4m2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + -11m + m2) = 0

Factor a trinomial.
4((2 + -1m)(9 + -1m)) = 0

Ignore the factor 4.
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 '(9 + -1m)' equal to zero and attempt to solve:

Simplifying
9 + -1m = 0

Solving
9 + -1m = 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 + -1m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1m = 0 + -9
-1m = 0 + -9

Combine like terms: 0 + -9 = -9
-1m = -9

Divide each side by '-1'.
m = 9

Simplifying
m = 9
Solution
m = {2, 9}