6x^2y+3xy^2-63y^3=0

Simple and best practice solution for 6x^2y+3xy^2-63y^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 6x^2y+3xy^2-63y^3=0 equation: 


Simplifying
6x2y + 3xy2 + -63y3 = 0

Reorder the terms:
3xy2 + 6x2y + -63y3 = 0

Solving
3xy2 + 6x2y + -63y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(xy + 2x2 + -21y2) = 0

Factor a trinomial.
3y((x + -3y)(2x + 7y)) = 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 '(x + -3y)' equal to zero and attempt to solve:

Simplifying
x + -3y = 0

Solving
x + -3y = 0

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

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

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

Simplifying
x = 3y

Subproblem 3
Set the factor '(2x + 7y)' equal to zero and attempt to solve:

Simplifying
2x + 7y = 0

Solving
2x + 7y = 0

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

Add '-7y' to each side of the equation.
2x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
2x + 0 = 0 + -7y
2x = 0 + -7y
Remove the zero:
2x = -7y

Divide each side by '2'.
x = -3.5y

Simplifying
x = -3.5y
Solution
x = {3y, -3.5y}

See similar equations:

| 6x^2+3xy^2-63y^3=0 | | 0.55x+0.05(10-x)=0.10(25) | | 4x^2-11x-4=0 | | 3(7-2x)=14-8(-1) | | 5a^2-10a+5= | | 3-4x=-13+x | | 3(7+-2x)=14-8(x-1) | | 3(7+-2x)=14-8(x+-1) | | s^2+10s+20= | | -1y^2=284 | | s^2+4s+7= | | (-5-25x)+(-10+-40x)=-12x | | 0.70x+0.05(16-x)=0.10(-57) | | 0.70x+0.05(16-x)=0.10-(57) | | 3x^2+6x-180=0 | | (2x-10)=0 | | 2y+2x=72 | | 4-6x=70 | | 8(3a+5)-7(4a-3)=20-3a | | 4+6g= | | 5m+3=7m-5 | | 5x^4+20x^2=0 | | x^2+x-x+1= | | a^2+14a+49-b^2=0 | | X^3-3*x^2+2=0 | | x^4+4(x^2)-5=0 | | 27(x^3)+64=0 | | (x+3)(x)+(x-8)=55 | | 3(x^3)-125=0 | | cos(xy)=3x^1+3y^4 | | 12y=84 | | 0.60x+0.05(10-x)=0.10(38) |

Equations solver categories