3x^3y^2+15x^2y=0

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Solution for 3x^3y^2+15x^2y=0 equation:


Simplifying
3x3y2 + 15x2y = 0

Reorder the terms:
15x2y + 3x3y2 = 0

Solving
15x2y + 3x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y'.
3x2y(5 + xy) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 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 '(5 + xy)' equal to zero and attempt to solve: Simplifying 5 + xy = 0 Solving 5 + xy = 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 + xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + xy = 0 + -5 xy = 0 + -5 Combine like terms: 0 + -5 = -5 xy = -5 Divide each side by 'y'. x = -5y-1 Simplifying x = -5y-1

Solution

x = {-5y-1}

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