4xy^2-11xy-3x=0

Solution for 4xy^2-11xy-3x=0 equation:

Simplifying
4xy2 + -11xy + -3x = 0

Reorder the terms:
-3x + -11xy + 4xy2 = 0

Solving
-3x + -11xy + 4xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + -11y + 4y2) = 0

Factor a trinomial.
x((-1 + -4y)(3 + -1y)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1 + -4y)' equal to zero and attempt to solve:

Simplifying
-1 + -4y = 0

Solving
-1 + -4y = 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 + -4y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4y = 0 + 1
-4y = 0 + 1

Combine like terms: 0 + 1 = 1
-4y = 1

Add '4y' to each side of the equation.
-4y + 4y = 1 + 4y

Combine like terms: -4y + 4y = 0
0 = 1 + 4y

Simplifying
0 = 1 + 4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

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

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

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

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

Simplifying
0 = -3 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}