18x^3y-33x^2y^2-30xy^3=0

Simple and best practice solution for 18x^3y-33x^2y^2-30xy^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 18x^3y-33x^2y^2-30xy^3=0 equation: 


Simplifying
18x3y + -33x2y2 + -30xy3 = 0

Reorder the terms:
-30xy3 + -33x2y2 + 18x3y = 0

Solving
-30xy3 + -33x2y2 + 18x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-10y2 + -11xy + 6x2) = 0

Factor a trinomial.
3xy((-2y + -3x)(5y + -2x)) = 0

Ignore the factor 3.

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

Simplifying
-2y + -3x = 0

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

Solving
-3x + -2y = 0

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

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

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

Divide each side by '-3'.
x = -0.6666666667y

Simplifying
x = -0.6666666667y

Subproblem 3
Set the factor '(5y + -2x)' equal to zero and attempt to solve:

Simplifying
5y + -2x = 0

Reorder the terms:
-2x + 5y = 0

Solving
-2x + 5y = 0

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

Add '-5y' to each side of the equation.
-2x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-2x + 0 = 0 + -5y
-2x = 0 + -5y
Remove the zero:
-2x = -5y

Divide each side by '-2'.
x = 2.5y

Simplifying
x = 2.5y
Solution
x = {-0.6666666667y, 2.5y}

See similar equations:

| 100*3-60*20*3+60-10= | | 29x-12-16x^2=0 | | 525+0.21x=525+0.31x | | 525+0.21= | | 3y+y=140 | | (4x+3y^2)dx+(2x^2y)dy=0 | | 2x+7x+50=180 | | 1.5q-1.1-4.3q=3.8q-4.8 | | 2x+3=5x+12 | | 1/3x=4/15 | | (x^2+5)(x+2)= | | (x^2+5)(x+5)= | | 5x-9=x+11 | | (7x^4+2)(7x^2+3)= | | X+36=77 | | 5x+45=1.25x | | x^2+x-11/4 | | 6x-4=180 | | (24x/4x-4)+2 | | y/5-y/b-3=2y | | 33/4/3/4=x | | -3b+3=-1+(b+2) | | 321=16+(5d/13) | | 2m+(3m-1)=36 | | 2m+1(3m-1)=36m | | x+3/2+3x=5(x-3)+x+23/5 | | 8*(x-3)=5(x+3) | | -(1/7+2g)(-4/7-2g) | | 8y=8x-10 | | 15logx-4=8logx^2 | | 8e^3x-1=75 | | x+0.2175x=115 |

Equations solver categories