81x^6-x^2=0

Simple and best practice solution for 81x^6-x^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 81x^6-x^2=0 equation: 


Simplifying
81x6 + -1x2 = 0

Reorder the terms:
-1x2 + 81x6 = 0

Solving
-1x2 + 81x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + 81x4) = 0

Factor a difference between two squares.
x2((1 + 9x2)(-1 + 9x2)) = 0

Factor a difference between two squares.
x2((1 + 9x2)((1 + 3x)(-1 + 3x))) = 0


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 '(1 + 9x2)' equal to zero and attempt to solve:

Simplifying
1 + 9x2 = 0

Solving
1 + 9x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 9x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9x2 = 0 + -1
9x2 = 0 + -1

Combine like terms: 0 + -1 = -1
9x2 = -1

Divide each side by '9'.
x2 = -0.1111111111

Simplifying
x2 = -0.1111111111

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 4
Set the factor '(-1 + 3x)' equal to zero and attempt to solve:

Simplifying
-1 + 3x = 0

Solving
-1 + 3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 0 + 1
3x = 0 + 1

Combine like terms: 0 + 1 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0, -0.3333333333, 0.3333333333}

See similar equations:

| 5dsquare-222d+8=0 | | 70b=210 | | 2x+4=7-2(x-3) | | 3nsquare-7n+2=0 | | 190/x | | 3/7•4/9= | | 190/1-x | | -3y+6=4y+4 | | 3/7•4/9 | | 17r-9r+3r= | | (10-2.89)/3 | | x+(x*.06)=3690 | | 25+9x=20+4x | | 2x^2-9x-17=64 | | (k^2-2k+5)-(k^2+5k+3)= | | 25x-5=45 | | x^2-6x+5=-3 | | 2x^2+3x-21=0 | | x/8-x=14 | | xe^4-10x+3y=0 | | 7-12x-x^2=0 | | 7a-3-11a-4a= | | 4y^2-3y-7=0 | | 4x^2+2x-6=24 | | f(x)=e^1-x | | 4x^2+6x-20=8 | | 10/3-2.89 | | 3x+4-7x+6= | | x^2+9x+12=-2 | | -2x*2+4x+6=0 | | 2x+4=3(x+4)+1 | | -5x^2-2x+12=0 |

Equations solver categories