3x^2+2x^2y+9x^2=

Solution for 3x^2+2x^2y+9x^2= equation:

Simplifying
3x2 + 2x2y + 9x2 = 0

Reorder the terms:
3x2 + 9x2 + 2x2y = 0

Combine like terms: 3x2 + 9x2 = 12x2
12x2 + 2x2y = 0

Solving
12x2 + 2x2y = 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), '2x2'.
2x2(6 + y) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + 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 + -6 + y = 0 + -6

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

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

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

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

Simplifying
0 = -6 + -1y

The solution to this equation could not be determined.

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