x^6+6x^4-27x^2=0

Simple and best practice solution for x^6+6x^4-27x^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 x^6+6x^4-27x^2=0 equation: 


Simplifying
x6 + 6x4 + -27x2 = 0

Reorder the terms:
-27x2 + 6x4 + x6 = 0

Solving
-27x2 + 6x4 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-27 + 6x2 + x4) = 0

Factor a trinomial.
x2((-9 + -1x2)(3 + -1x2)) = 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 '(-9 + -1x2)' equal to zero and attempt to solve:

Simplifying
-9 + -1x2 = 0

Solving
-9 + -1x2 = 0

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

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

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

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

Divide each side by '-1'.
x2 = -9

Simplifying
x2 = -9

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 '(3 + -1x2)' equal to zero and attempt to solve:

Simplifying
3 + -1x2 = 0

Solving
3 + -1x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x2 = 0 + -3
-1x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x2 = -3

Divide each side by '-1'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}
Solution
x = {0, -1.732050808, 1.732050808}

See similar equations:

| 5d-11=1d+2 | | 4+2f=16 | | 5p^2+2p=115 | | 2msquared+10=0 | | x^6+6x^2-27x^4=0 | | 3=10r^2+10r | | X-16=y^2+16 | | 3=10r^2+110r | | -a^2+30+40a=5+4a | | -154=6x-5(6x+2) | | 5x+Solve=8 | | 5400n=180n-360 | | y=-0.5+0.5x | | x^6+6x^4-27x^4=0 | | 3(15x+100)=570 | | 10x+17=3x+-99 | | 548+29.50e=2023 | | n^2+2n-5=3 | | 13.63+0.07(x+3)=14.38-0.15x | | 2880n=180n-360 | | 9w-16.3=55.2 | | 164=-4x+6(-x+9) | | -3x^2-17x-12=-10x-10 | | N+45=172 | | x+2y+4z=12 | | 4(5x-4)=14x+2(3x-8) | | m^2=-13m+42 | | 19-45=4(x-2)-6 | | 1260n=180n-360 | | 1.5x+3=2(x-2.5) | | -8r^2-10=0 | | 2-4m=14 |

Equations solver categories