x^2+6xm=91m^2

Solution for x^2+6xm=91m^2 equation:

Simplifying
x2 + 6xm = 91m2

Reorder the terms:
6mx + x2 = 91m2

Solving
6mx + x2 = 91m2

Solving for variable 'm'.

Reorder the terms:
6mx + -91m2 + x2 = 91m2 + -91m2

Combine like terms: 91m2 + -91m2 = 0
6mx + -91m2 + x2 = 0

Factor a trinomial.
(-13m + -1x)(7m + -1x) = 0

Subproblem 1
Set the factor '(-13m + -1x)' equal to zero and attempt to solve:

Simplifying
-13m + -1x = 0

Solving
-13m + -1x = 0

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

Add 'x' to each side of the equation.
-13m + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-13m + 0 = 0 + x
-13m = 0 + x
Remove the zero:
-13m = x

Divide each side by '-13'.
m = -0.07692307692x

Simplifying
m = -0.07692307692x
Subproblem 2
Set the factor '(7m + -1x)' equal to zero and attempt to solve:

Simplifying
7m + -1x = 0

Solving
7m + -1x = 0

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

Add 'x' to each side of the equation.
7m + -1x + x = 0 + x

Combine like terms: -1x + x = 0
7m + 0 = 0 + x
7m = 0 + x
Remove the zero:
7m = x

Divide each side by '7'.
m = 0.1428571429x

Simplifying
m = 0.1428571429x
Solution
m = {-0.07692307692x, 0.1428571429x}