24x^2y+47xy-2y=0

Solution for 24x^2y+47xy-2y=0 equation:

Simplifying
24x2y + 47xy + -2y = 0

Reorder the terms:
47xy + 24x2y + -2y = 0

Solving
47xy + 24x2y + -2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(47x + 24x2 + -2) = 0

Factor a trinomial.
y((24x + -1)(x + 2)) = 0

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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(24x + -1)' equal to zero and attempt to solve:

Simplifying
24x + -1 = 0

Reorder the terms:
-1 + 24x = 0

Solving
-1 + 24x = 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 + 24x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 24x = 0 + 1
24x = 0 + 1

Combine like terms: 0 + 1 = 1
24x = 1

Divide each side by '24'.
x = 0.04166666667

Simplifying
x = 0.04166666667
Subproblem 3
Set the factor '(x + 2)' equal to zero and attempt to solve:

Simplifying
x + 2 = 0

Reorder the terms:
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0.04166666667, -2}