5x^6y^2-65x^5y^3+180x^4y^4=0

Simple and best practice solution for 5x^6y^2-65x^5y^3+180x^4y^4=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 5x^6y^2-65x^5y^3+180x^4y^4=0 equation: 


Simplifying
5x6y2 + -65x5y3 + 180x4y4 = 0

Reorder the terms:
180x4y4 + -65x5y3 + 5x6y2 = 0

Solving
180x4y4 + -65x5y3 + 5x6y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x4y2'.
5x4y2(36y2 + -13xy + x2) = 0

Factor a trinomial.
5x4y2((4y + -1x)(9y + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x4y2' equal to zero and attempt to solve:

Simplifying
x4y2 = 0

Solving
x4y2 = 0

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

Simplifying
x4y2 = 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 '(4y + -1x)' equal to zero and attempt to solve:

Simplifying
4y + -1x = 0

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

Solving
-1x + 4y = 0

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

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

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

Divide each side by '-1'.
x = 4y

Simplifying
x = 4y

Subproblem 3
Set the factor '(9y + -1x)' equal to zero and attempt to solve:

Simplifying
9y + -1x = 0

Reorder the terms:
-1x + 9y = 0

Solving
-1x + 9y = 0

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

Add '-9y' to each side of the equation.
-1x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
-1x + 0 = 0 + -9y
-1x = 0 + -9y
Remove the zero:
-1x = -9y

Divide each side by '-1'.
x = 9y

Simplifying
x = 9y
Solution
x = {4y, 9y}

See similar equations:

| Z+8=7 | | 24x^2-55=24 | | .6+.66= | | (8x-4)=-(4x+9) | | 3z-8-z+2=0 | | -2.5+3.2= | | (x+40)+(2x-5)+(3x-17)=180 | | -6x^2-26x+20=0 | | 6k+6(1-7k)=39-3k | | x+(x-35)+(x-46)+.5x=360 | | x^2+8x=-13 | | 7y+3x-7+5x-2y=0 | | 2x^2+3x=-8 | | 5(x+3)=3(1-x) | | r(s)=n | | 15x^2y^2+7xy-2=0 | | -3(2n+1)+6=2n | | 4*x+y=9 | | 9x^5y^7= | | 5x+15=3-3x | | k^2=6k-5 | | 5x-8=-8+3x | | 8-2a=7 | | 14x^2y^2+5xy-24=0 | | 1x+18+1x-20=90 | | 7(2x+4+y)= | | 5y^3+34y^2-7y=0 | | 0.04(y-1)+0.12y=0.06y-0.03(20) | | 15/46= | | .5x=3.5 | | 3-6(x+3)=3 | | 2x^2+26x+80= |

Equations solver categories