15x^2+12x^3y=

Solution for 15x^2+12x^3y= equation:

Simplifying
15x2 + 12x3y = 0

Solving
15x2 + 12x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(5 + 4xy) = 0

Ignore the factor 3.
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 '(5 + 4xy)' equal to zero and attempt to solve:

Simplifying
5 + 4xy = 0

Solving
5 + 4xy = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4xy = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4xy = 0 + -5
4xy = 0 + -5

Combine like terms: 0 + -5 = -5
4xy = -5

Divide each side by '4y'.
x = -1.25y-1

Simplifying
x = -1.25y-1
Solution
x = {0, -1.25y-1}