4x^3y-12x^2y^2+9xy^3=0

Simple and best practice solution for 4x^3y-12x^2y^2+9xy^3=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4x^3y-12x^2y^2+9xy^3=0 equation: 


Simplifying
4x3y + -12x2y2 + 9xy3 = 0

Reorder the terms:
9xy3 + -12x2y2 + 4x3y = 0

Solving
9xy3 + -12x2y2 + 4x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(9y2 + -12xy + 4x2) = 0

Factor a trinomial.
xy((3y + -2x)(3y + -2x)) = 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 '(3y + -2x)' equal to zero and attempt to solve:

Simplifying
3y + -2x = 0

Reorder the terms:
-2x + 3y = 0

Solving
-2x + 3y = 0

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

Add '-3y' to each side of the equation.
-2x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-2x + 0 = 0 + -3y
-2x = 0 + -3y
Remove the zero:
-2x = -3y

Divide each side by '-2'.
x = 1.5y

Simplifying
x = 1.5y

Subproblem 3
Set the factor '(3y + -2x)' equal to zero and attempt to solve:

Simplifying
3y + -2x = 0

Reorder the terms:
-2x + 3y = 0

Solving
-2x + 3y = 0

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

Add '-3y' to each side of the equation.
-2x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-2x + 0 = 0 + -3y
-2x = 0 + -3y
Remove the zero:
-2x = -3y

Divide each side by '-2'.
x = 1.5y

Simplifying
x = 1.5y
Solution
x = {1.5y, 1.5y}

See similar equations:

| -103=1-6(-2-5x) | | -12x-15=-9 | | 729=T^3 | | t^3=729 | | k^2=10.24 | | -6a+5=-2a-3 | | 5-9n-7+2n= | | 12x-6(3)=12 | | -6x+4=32 | | 4(12n+3)=4n-42 | | 9x^2-8xy-y^2=0 | | (-6n^4)(-7n^2+n)=0 | | 2y(y+1)=y^2+15 | | -2(x+1)+x=12 | | 0.2x=x-12 | | -(4x^2-5x+5)= | | 66=6(-p+6) | | (4a^4-6a^3+a^2)(3a^2+2a)=0 | | 0.55x+0.05(14-x)=0.10(-43) | | 4(2x+6)-8=32 | | 5x-1=2x+1 | | 2y+8+3y=23 | | 0.70x+0.05(10-x)=0.10(-73) | | 10t^2-27t-5=0 | | 5x-(x-4)=10-2(x-8) | | 8x+1=8(x+2) | | -5(-3x+1)=-45 | | 18p^3-51p^2-135p=0 | | 4x^2+196=0 | | 5xy(12x-8y)= | | 4n+.02=1.5n+9 | | 4r^2+2r-5=0 |

Equations solver categories