24x^2y+66xy^2-189y^3=

Simple and best practice solution for 24x^2y+66xy^2-189y^3= 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 24x^2y+66xy^2-189y^3= equation: 


Simplifying
24x2y + 66xy2 + -189y3 = 0

Reorder the terms:
66xy2 + 24x2y + -189y3 = 0

Solving
66xy2 + 24x2y + -189y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(22xy + 8x2 + -63y2) = 0

Factor a trinomial.
3y((4x + -7y)(2x + 9y)) = 0

Ignore the factor 3.

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 '(4x + -7y)' equal to zero and attempt to solve:

Simplifying
4x + -7y = 0

Solving
4x + -7y = 0

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

Add '7y' to each side of the equation.
4x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
4x + 0 = 0 + 7y
4x = 0 + 7y
Remove the zero:
4x = 7y

Divide each side by '4'.
x = 1.75y

Simplifying
x = 1.75y

Subproblem 3
Set the factor '(2x + 9y)' equal to zero and attempt to solve:

Simplifying
2x + 9y = 0

Solving
2x + 9y = 0

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

Add '-9y' to each side of the equation.
2x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
2x + 0 = 0 + -9y
2x = 0 + -9y
Remove the zero:
2x = -9y

Divide each side by '2'.
x = -4.5y

Simplifying
x = -4.5y
Solution
x = {1.75y, -4.5y}

See similar equations:

| 20a^2-31ab-7b^2=0 | | c/2-16=-13 | | -14=-3t+-2 | | 16x^6+28x^5+6x^4=0 | | -17x+5=-3(4) | | 9=3+2u | | 5=-2y+2 | | 96/11*13/16 | | n=20-5q | | -4v=I | | 5y+5=2y-1 | | 3u+4=10 | | 7-2(4z-3)=3z+1 | | 41/4*10/9 | | -0.5*x+2y=7 | | (-5x+9)+h-(5x+9)/h | | -7(x-3)-6(x+5)= | | 35=c-15 | | 1/7x+1/3=4/5-6/7 | | 5z^2+41z+36=0 | | 4r^2-9r+5=0 | | 1/5(5B-4) | | r/11+s/4=12 | | 1/9(9y+18)-9=-1/7(21y-35) | | 8-w=5 | | 9x+10x^2=7 | | (3x+1)(5-2x)= | | 150=50+h | | j/12+k5=2 | | 2.23+m=5.84 | | -0.5x+2y=7 | | 0.02p-0.02(3-3p)=0.04(p-6)-0.22 |

Equations solver categories