3x^2y+24xy-99y=0

Solution for 3x^2y+24xy-99y=0 equation:

Simplifying
3x2y + 24xy + -99y = 0

Reorder the terms:
24xy + 3x2y + -99y = 0

Solving
24xy + 3x2y + -99y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(8x + x2 + -33) = 0

Factor a trinomial.
3y((x + -3)(x + 11)) = 0

Ignore the factor 3.
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 '(x + -3)' equal to zero and attempt to solve:

Simplifying
x + -3 = 0

Reorder the terms:
-3 + x = 0

Solving
-3 + x = 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 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Subproblem 3
Set the factor '(x + 11)' equal to zero and attempt to solve:

Simplifying
x + 11 = 0

Reorder the terms:
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {3, -11}