10-20xy-150x^2y^2=0

Solution for 10-20xy-150x^2y^2=0 equation:

Simplifying
10 + -20xy + -150x2y2 = 0

Solving
10 + -20xy + -150x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(1 + -2xy + -15x2y2) = 0

Factor a trinomial.
10((1 + -5xy)(1 + 3xy)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(1 + -5xy)' equal to zero and attempt to solve:

Simplifying
1 + -5xy = 0

Solving
1 + -5xy = 0

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

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

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

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

Divide each side by '-5y'.
x = 0.2y-1

Simplifying
x = 0.2y-1
Subproblem 2
Set the factor '(1 + 3xy)' equal to zero and attempt to solve:

Simplifying
1 + 3xy = 0

Solving
1 + 3xy = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3xy = 0 + -1
3xy = 0 + -1

Combine like terms: 0 + -1 = -1
3xy = -1

Divide each side by '3y'.
x = -0.3333333333y-1

Simplifying
x = -0.3333333333y-1
Solution
x = {0.2y-1, -0.3333333333y-1}