12x^2y+8xy^2+y^3=0

Simple and best practice solution for 12x^2y+8xy^2+y^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^2y+8xy^2+y^3=0 equation: 


Simplifying
12x2y + 8xy2 + y3 = 0

Reorder the terms:
8xy2 + 12x2y + y3 = 0

Solving
8xy2 + 12x2y + y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(8xy + 12x2 + y2) = 0

Factor a trinomial.
y((6x + y)(2x + y)) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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 '(6x + y)' equal to zero and attempt to solve:

Simplifying
6x + y = 0

Solving
6x + y = 0

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

Add '-1y' to each side of the equation.
6x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
6x + 0 = 0 + -1y
6x = 0 + -1y
Remove the zero:
6x = -1y

Divide each side by '6'.
x = -0.1666666667y

Simplifying
x = -0.1666666667y

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

Simplifying
2x + y = 0

Solving
2x + y = 0

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

Add '-1y' to each side of the equation.
2x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 0 + -1y
2x = 0 + -1y
Remove the zero:
2x = -1y

Divide each side by '2'.
x = -0.5y

Simplifying
x = -0.5y
Solution
x = {-0.1666666667y, -0.5y}

See similar equations:

| x+x+225000=575000000 | | L-42=56 | | -3+[(-5)-(-10)]= | | (.25x+4)+.10y=10.75 | | x+5+3x-7+9x+3-4x=0 | | 2(a+b)+3(a+b)=5a | | 0.5=0.4y-0.25x | | x+(x-20)+(2x+10)+(X+40)=360 | | -144=-2k | | 5(2z-1)-4(2+3)=4(z+1) | | x^4-9x^2+3=0 | | 2x+60=4x-12 | | (2x+4)+y=10.75 | | -x=5(-x)+7 | | f(-x)=5(-x)+7 | | (.58)+y=10.86 | | 6q-7=35 | | 12(3x+3)-6(2x-3)=14x-16 | | 2x+(4+x)=10.75 | | 2p^2-7p+8=0 | | 5x^2-4x+28=0 | | 2xX+4+X=10.75 | | .3(5x+6)-.5(x+7)=2 | | 7(t-3)+7t=7(2t+3)-13 | | -5-2x=6 | | -3p+7=6-(5p+4) | | -(4y+2)-(-3y-3)=-3 | | -y^2+19y=1 | | 3x=9y+15 | | 7t^2-12t-4=0 | | 2x+17x+21=0 | | -1x+10=1x-5x+15 |

Equations solver categories