21x^2y^2+2xy-8=

Solution for 21x^2y^2+2xy-8= equation:

Simplifying
21x2y2 + 2xy + -8 = 0

Reorder the terms:
-8 + 2xy + 21x2y2 = 0

Solving
-8 + 2xy + 21x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3xy)(4 + -7xy) = 0

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

Simplifying
-2 + -3xy = 0

Solving
-2 + -3xy = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3xy = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3xy = 0 + 2
-3xy = 0 + 2

Combine like terms: 0 + 2 = 2
-3xy = 2

Divide each side by '-3y'.
x = -0.6666666667y-1

Simplifying
x = -0.6666666667y-1
Subproblem 2
Set the factor '(4 + -7xy)' equal to zero and attempt to solve:

Simplifying
4 + -7xy = 0

Solving
4 + -7xy = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7xy = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7xy = 0 + -4
-7xy = 0 + -4

Combine like terms: 0 + -4 = -4
-7xy = -4

Divide each side by '-7y'.
x = 0.5714285714y-1

Simplifying
x = 0.5714285714y-1
Solution
x = {-0.6666666667y-1, 0.5714285714y-1}