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

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


Simplifying
6x4 + 4x2 + 2 = 0

Reorder the terms:
2 + 4x2 + 6x4 = 0

Solving
2 + 4x2 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 2x2 + 3x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 2x2 + 3x4)' equal to zero and attempt to solve:

Simplifying
1 + 2x2 + 3x4 = 0

Solving
1 + 2x2 + 3x4 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
0.3333333333 + 0.6666666667x2 + x4 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.6666666667x2 + -0.3333333333 + x4 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.6666666667x2 + x4 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.6666666667x2 + x4 = 0 + -0.3333333333
0.6666666667x2 + x4 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.6666666667x2 + x4 = -0.3333333333

The x term is 0.6666666667x2.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x2 + 0.1111111112 + x4 = -0.3333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x2 + x4 = -0.3333333333 + 0.1111111112

Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221
0.1111111112 + 0.6666666667x2 + x4 = -0.2222222221

Factor a perfect square on the left side:
(x2 + 0.3333333334)(x2 + 0.3333333334) = -0.2222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

See similar equations:

| 2=a(10-0)(10+100) | | 7t+5=3t+2+(-t)+3 | | 2=a(10-0)x(10+100) | | -7(6+8v)-3=-318 | | 60=1.5x | | -7(5+8v)-3=-288 | | 3x=2(2x-3)+2(x) | | 187-1.7w=93+.9w | | 5-(n-4)=2(n+1) | | Y=-4x^2+12x+7 | | x^2+14x-8=3x+4 | | 5+x=500 | | x^2-5x-10=-6x+2 | | 3x=2x-3+x | | n+2-4n=33 | | 3yards=in | | 3.2x-2.1+x-2.7= | | 4w+4x+15y+3w+11x+9y= | | 30x+650=y | | m^2=60+4m | | x-50=14 | | (x+1)*(x-4)=0 | | -2x+9y=-5+2y | | 2x-15=43-5x | | 7x-5w+2x+6y+3y+2w= | | 8x-8=3x+64 | | Y=(2x^2)-1 | | -3x+14=-46-9x | | 6x-26=11x-10-4x | | 9x+5y+5z-5x+3z-9y= | | 18a+13b+5c+2c-3b-2a= | | 10-6x=7-7x |

Equations solver categories