49m^2n^2+7mn-72=0

Solution for 49m^2n^2+7mn-72=0 equation:

Simplifying
49m2n2 + 7mn + -72 = 0

Reorder the terms:
-72 + 7mn + 49m2n2 = 0

Solving
-72 + 7mn + 49m2n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -7mn)(8 + -7mn) = 0

Subproblem 1
Set the factor '(-9 + -7mn)' equal to zero and attempt to solve:

Simplifying
-9 + -7mn = 0

Solving
-9 + -7mn = 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 + -7mn = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -7mn = 0 + 9
-7mn = 0 + 9

Combine like terms: 0 + 9 = 9
-7mn = 9

Divide each side by '-7n'.
m = -1.285714286n-1

Simplifying
m = -1.285714286n-1
Subproblem 2
Set the factor '(8 + -7mn)' equal to zero and attempt to solve:

Simplifying
8 + -7mn = 0

Solving
8 + -7mn = 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 + -7mn = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7mn = 0 + -8
-7mn = 0 + -8

Combine like terms: 0 + -8 = -8
-7mn = -8

Divide each side by '-7n'.
m = 1.142857143n-1

Simplifying
m = 1.142857143n-1
Solution
m = {-1.285714286n-1, 1.142857143n-1}