8x^2y^2+26xy+15=

Solution for 8x^2y^2+26xy+15= equation:

Simplifying
8x2y2 + 26xy + 15 = 0

Reorder the terms:
15 + 26xy + 8x2y2 = 0

Solving
15 + 26xy + 8x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 2xy)(3 + 4xy) = 0

Subproblem 1
Set the factor '(5 + 2xy)' equal to zero and attempt to solve:

Simplifying
5 + 2xy = 0

Solving
5 + 2xy = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2xy = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2xy = 0 + -5
2xy = 0 + -5

Combine like terms: 0 + -5 = -5
2xy = -5

Divide each side by '2y'.
x = -2.5y-1

Simplifying
x = -2.5y-1
Subproblem 2
Set the factor '(3 + 4xy)' equal to zero and attempt to solve:

Simplifying
3 + 4xy = 0

Solving
3 + 4xy = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4xy = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4xy = 0 + -3
4xy = 0 + -3

Combine like terms: 0 + -3 = -3
4xy = -3

Divide each side by '4y'.
x = -0.75y-1

Simplifying
x = -0.75y-1
Solution
x = {-2.5y-1, -0.75y-1}