9x^3y+24x^2y^2+16xy^3=

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Solution for 9x^3y+24x^2y^2+16xy^3= equation: 


Simplifying
9x3y + 24x2y2 + 16xy3 = 0

Reorder the terms:
16xy3 + 24x2y2 + 9x3y = 0

Solving
16xy3 + 24x2y2 + 9x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(16y2 + 24xy + 9x2) = 0

Factor a trinomial.
xy((4y + 3x)(4y + 3x)) = 0


Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(4y + 3x)' equal to zero and attempt to solve:

Simplifying
4y + 3x = 0

Reorder the terms:
3x + 4y = 0

Solving
3x + 4y = 0

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 0 + -4y
3x = 0 + -4y
Remove the zero:
3x = -4y

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y

Subproblem 3
Set the factor '(4y + 3x)' equal to zero and attempt to solve:

Simplifying
4y + 3x = 0

Reorder the terms:
3x + 4y = 0

Solving
3x + 4y = 0

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 0 + -4y
3x = 0 + -4y
Remove the zero:
3x = -4y

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y
Solution
x = {-1.333333333y, -1.333333333y}

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