40x^2y^2-58xy-21=0

Solution for 40x^2y^2-58xy-21=0 equation:

Simplifying
40x2y2 + -58xy + -21 = 0

Reorder the terms:
-21 + -58xy + 40x2y2 = 0

Solving
-21 + -58xy + 40x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -10xy)(7 + -4xy) = 0

Subproblem 1
Set the factor '(-3 + -10xy)' equal to zero and attempt to solve:

Simplifying
-3 + -10xy = 0

Solving
-3 + -10xy = 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 + -10xy = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -10xy = 0 + 3
-10xy = 0 + 3

Combine like terms: 0 + 3 = 3
-10xy = 3

Divide each side by '-10y'.
x = -0.3y-1

Simplifying
x = -0.3y-1
Subproblem 2
Set the factor '(7 + -4xy)' equal to zero and attempt to solve:

Simplifying
7 + -4xy = 0

Solving
7 + -4xy = 0

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

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

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

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

Divide each side by '-4y'.
x = 1.75y-1

Simplifying
x = 1.75y-1
Solution
x = {-0.3y-1, 1.75y-1}