3(x^2)y+12x=0

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Solution for 3(x^2)y+12x=0 equation: 


Simplifying
3(x2) * y + 12x = 0

Multiply x2 * y
3x2y + 12x = 0

Reorder the terms:
12x + 3x2y = 0

Solving
12x + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4 + xy) = 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 '(4 + xy)' equal to zero and attempt to solve:

Simplifying
4 + xy = 0

Solving
4 + xy = 0

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

Add '-4' to each side of the equation.
4 + -4 + xy = 0 + -4

Combine like terms: 4 + -4 = 0
0 + xy = 0 + -4
xy = 0 + -4

Combine like terms: 0 + -4 = -4
xy = -4

Divide each side by 'y'.
x = -4y-1

Simplifying
x = -4y-1
Solution
x = {0, -4y-1}

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