6x^2y+3xy+18x=

Solution for 6x^2y+3xy+18x= equation:

Simplifying
6x2y + 3xy + 18x = 0

Reorder the terms:
18x + 3xy + 6x2y = 0

Solving
18x + 3xy + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(6 + y + 2xy) = 0

Ignore the factor 3.
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 '(6 + y + 2xy)' equal to zero and attempt to solve:

Simplifying
6 + y + 2xy = 0

Reorder the terms:
6 + 2xy + y = 0

Solving
6 + 2xy + y = 0

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

Add '-6' to each side of the equation.
6 + 2xy + -6 + y = 0 + -6

Reorder the terms:
6 + -6 + 2xy + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2xy + y = 0 + -6
2xy + y = 0 + -6

Combine like terms: 0 + -6 = -6
2xy + y = -6

Add '-1y' to each side of the equation.
2xy + y + -1y = -6 + -1y

Combine like terms: y + -1y = 0
2xy + 0 = -6 + -1y
2xy = -6 + -1y

Divide each side by '2y'.
x = -3y-1 + -0.5

Simplifying
x = -3y-1 + -0.5

Reorder the terms:
x = -0.5 + -3y-1
Solution
x = {0, -0.5 + -3y-1}