486x^4-96x^2y^2=0

Simple and best practice solution for 486x^4-96x^2y^2=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 486x^4-96x^2y^2=0 equation: 


Simplifying
486x4 + -96x2y2 = 0

Reorder the terms:
-96x2y2 + 486x4 = 0

Solving
-96x2y2 + 486x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-16y2 + 81x2) = 0

Factor a difference between two squares.
6x2((4y + 9x)(-4y + 9x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(4y + 9x)' equal to zero and attempt to solve:

Simplifying
4y + 9x = 0

Reorder the terms:
9x + 4y = 0

Solving
9x + 4y = 0

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

Add '-4y' to each side of the equation.
9x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
9x + 0 = 0 + -4y
9x = 0 + -4y
Remove the zero:
9x = -4y

Divide each side by '9'.
x = -0.4444444444y

Simplifying
x = -0.4444444444y

Subproblem 3
Set the factor '(-4y + 9x)' equal to zero and attempt to solve:

Simplifying
-4y + 9x = 0

Reorder the terms:
9x + -4y = 0

Solving
9x + -4y = 0

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

Add '4y' to each side of the equation.
9x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
9x + 0 = 0 + 4y
9x = 0 + 4y
Remove the zero:
9x = 4y

Divide each side by '9'.
x = 0.4444444444y

Simplifying
x = 0.4444444444y
Solution
x = {0, -0.4444444444y, 0.4444444444y}

See similar equations:

| x+y-30=0 | | 15.2=-2.3+7y | | x+y-2=30 | | -2e+20=3e+5 | | x+y-1=30 | | 12=a*-36 | | x+x-1=30 | | 12=ax-36 | | (-4)(-3)(0)(-6)= | | -(3y-8)=x | | 17.9-4u=5.1 | | 189=3x(x+2) | | 240=5x(x+2) | | 2v-3.1=3.3 | | 7x+4=5+6x | | 3=w/4.8 | | b-4.3+4.3+12.97=1-4.7b | | (416)(2000)= | | 7x=22.4 | | (4251)352= | | 3(w-5)-5w=-17 | | 5x+7=156 | | 0=-2t^2+10t+5 | | x^2+3-18=0 | | 5[3(2+5)-5]= | | 8+3(2)(6)-1= | | 75x+60=95x-40 | | 9r-29=20+2r | | 2cm=100cm | | 100cm=2cm | | 7y-8=-32+y | | 5x=9781+x |

Equations solver categories