6x^4y-486y^5=

Simple and best practice solution for 6x^4y-486y^5= 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^4y-486y^5= equation: 


Simplifying
6x4y + -486y5 = 0

Solving
6x4y + -486y5 = 0

Solving for variable 'x'.

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

Add '486y5' to each side of the equation.
6x4y + -486y5 + 486y5 = 0 + 486y5

Combine like terms: -486y5 + 486y5 = 0
6x4y + 0 = 0 + 486y5
6x4y = 0 + 486y5
Remove the zero:
6x4y = 486y5

Divide each side by '6y'.
x4 = 81y4

Simplifying
x4 = 81y4

Combine like terms: 81y4 + -81y4 = 0
x4 + -81y4 = 0

Factor a difference between two squares.
(x2 + 9y2)(x2 + -9y2) = 0

Factor a difference between two squares.
(x2 + 9y2)((x + 3y)(x + -3y)) = 0


Subproblem 1
Set the factor '(x2 + 9y2)' equal to zero and attempt to solve:

Simplifying
x2 + 9y2 = 0

Solving
x2 + 9y2 = 0

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

Add '-9y2' to each side of the equation.
x2 + 9y2 + -9y2 = 0 + -9y2

Combine like terms: 9y2 + -9y2 = 0
x2 + 0 = 0 + -9y2
x2 = 0 + -9y2
Remove the zero:
x2 = -9y2

Simplifying
x2 = -9y2

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 '(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
Solution
x = {-3y, 3y}

See similar equations:

| P-3=15 | | 6a-7= | | N-7.1=.62 | | (7*6/7+1)^2 | | 4x^2+5xy+4y^2=82 | | 128t-16t^2=t | | C=2ay+3b^2 | | 3/4n=-18 | | 4y=20-y | | 5/11=n/13 | | -7m=1.05 | | .25(1-k)=-k | | -2-3y=7 | | C=2ay+3b*2 | | 6t(4t+4)= | | R+.48=1.2 | | 4x^3+12x^2-72x=0 | | 1/2+f=10 | | 3-462= | | (8x+7)-(2x-7)= | | 2(-10+3y)+8y=-6 | | x-7.7=-3.8 | | 3(5-6m)= | | 7x+5+2x=4(x+9) | | p^6+14p^3-72=0 | | 3z^2+2z-8=(4z+1)(z-8) | | 9v(7v+5)= | | (9t^2-t-4)(8t^2+9t-1)= | | 5p^2=-29p-20 | | x/2-5=-11 | | 9p+5=8+8p | | -3x+7=1 |

Equations solver categories