1-15mn-100m^2n^2=0

Solution for 1-15mn-100m^2n^2=0 equation:

Simplifying
1 + -15mn + -100m2n2 = 0

Solving
1 + -15mn + -100m2n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -20mn)(1 + 5mn) = 0

Subproblem 1
Set the factor '(1 + -20mn)' equal to zero and attempt to solve:

Simplifying
1 + -20mn = 0

Solving
1 + -20mn = 0

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

Add '-1' to each side of the equation.
1 + -1 + -20mn = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -20mn = 0 + -1
-20mn = 0 + -1

Combine like terms: 0 + -1 = -1
-20mn = -1

Divide each side by '-20n'.
m = 0.05n-1

Simplifying
m = 0.05n-1
Subproblem 2
Set the factor '(1 + 5mn)' equal to zero and attempt to solve:

Simplifying
1 + 5mn = 0

Solving
1 + 5mn = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5mn = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5mn = 0 + -1
5mn = 0 + -1

Combine like terms: 0 + -1 = -1
5mn = -1

Divide each side by '5n'.
m = -0.2n-1

Simplifying
m = -0.2n-1
Solution
m = {0.05n-1, -0.2n-1}