12x^3y-57x^2y^2-15xy^3=0

Simple and best practice solution for 12x^3y-57x^2y^2-15xy^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 12x^3y-57x^2y^2-15xy^3=0 equation: 


Simplifying
12x3y + -57x2y2 + -15xy3 = 0

Reorder the terms:
-15xy3 + -57x2y2 + 12x3y = 0

Solving
-15xy3 + -57x2y2 + 12x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-5y2 + -19xy + 4x2) = 0

Factor a trinomial.
3xy((-1y + -4x)(5y + -1x)) = 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 '(-1y + -4x)' equal to zero and attempt to solve:

Simplifying
-1y + -4x = 0

Reorder the terms:
-4x + -1y = 0

Solving
-4x + -1y = 0

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

Add 'y' to each side of the equation.
-4x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-4x + 0 = 0 + y
-4x = 0 + y
Remove the zero:
-4x = y

Divide each side by '-4'.
x = -0.25y

Simplifying
x = -0.25y

Subproblem 3
Set the factor '(5y + -1x)' equal to zero and attempt to solve:

Simplifying
5y + -1x = 0

Reorder the terms:
-1x + 5y = 0

Solving
-1x + 5y = 0

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

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 0 + -5y
-1x = 0 + -5y
Remove the zero:
-1x = -5y

Divide each side by '-1'.
x = 5y

Simplifying
x = 5y
Solution
x = {-0.25y, 5y}

See similar equations:

| 15(5)+10(15)= | | 4y^2+24y+45=0 | | -4x=-(2x+21)+3 | | -2c+7=11 | | 2(4w-3)-8=4+2w | | -5=8y-6 | | 4y^2+153=0 | | 15(10)+10(5)= | | 18(x+1+8z)= | | 2e^2x=7 | | t+19=2t-11 | | A-2=8/a | | -4+3(-3x-2)=59 | | -2p-3+4=4p+7 | | x^4+x^3-64x-64=0 | | 6b^2+12b-78=6 | | 2(z+0.9)=1.8 | | z=6z-80 | | (11x+1)-(6x-5)= | | 18(2)= | | 0=3t^2-19t+20 | | -34+10= | | 17 = r4+ 13 | | 3y+6=-5 | | 3.5(p-6)=3.7p+6.9 | | 2/3xp=8 | | x+25+2x-10=180 | | 84=3+6x | | X-21=(-54) | | s=2s-90 | | 2y+3=5x | | x+x+140+140+140+140=720 |

Equations solver categories