3x^4+12x^2-2=0

Simple and best practice solution for 3x^4+12x^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 3x^4+12x^2-2=0 equation: 


Simplifying
3x4 + 12x2 + -2 = 0

Reorder the terms:
-2 + 12x2 + 3x4 = 0

Solving
-2 + 12x2 + 3x4 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-0.6666666667 + 4x2 + x4 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + 4x2 + 0.6666666667 + x4 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + 4x2 + x4 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + 4x2 + x4 = 0 + 0.6666666667
4x2 + x4 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
4x2 + x4 = 0.6666666667

The x term is 4x2.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x2 + 4 + x4 = 0.6666666667 + 4

Reorder the terms:
4 + 4x2 + x4 = 0.6666666667 + 4

Combine like terms: 0.6666666667 + 4 = 4.6666666667
4 + 4x2 + x4 = 4.6666666667

Factor a perfect square on the left side:
(x2 + 2)(x2 + 2) = 4.6666666667

Calculate the square root of the right side: 2.160246899

Break this problem into two subproblems by setting 
(x2 + 2) equal to 2.160246899 and -2.160246899.


Subproblem 1
x2 + 2 = 2.160246899

Simplifying
x2 + 2 = 2.160246899

Reorder the terms:
2 + x2 = 2.160246899

Solving
2 + x2 = 2.160246899

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x2 = 2.160246899 + -2

Combine like terms: 2 + -2 = 0
0 + x2 = 2.160246899 + -2
x2 = 2.160246899 + -2

Combine like terms: 2.160246899 + -2 = 0.160246899
x2 = 0.160246899

Simplifying
x2 = 0.160246899

Take the square root of each side:
x = {-0.400308505, 0.400308505}


Subproblem 2
x2 + 2 = -2.160246899

Simplifying
x2 + 2 = -2.160246899

Reorder the terms:
2 + x2 = -2.160246899

Solving
2 + x2 = -2.160246899

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x2 = -2.160246899 + -2

Combine like terms: 2 + -2 = 0
0 + x2 = -2.160246899 + -2
x2 = -2.160246899 + -2

Combine like terms: -2.160246899 + -2 = -4.160246899
x2 = -4.160246899

Simplifying
x2 = -4.160246899

Reorder the terms:
4.160246899 + x2 = -4.160246899 + 4.160246899

Combine like terms: -4.160246899 + 4.160246899 = 0.000000000
4.160246899 + x2 = 0.000000000

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:

| 3m^2-20m-63=0 | | 3(0)-3y=-3 | | 4x-20=36-3 | | x+(x*.24)=37 | | 9x=7200 | | 3(1)-3y=-3 | | 10b-20b-30=0 | | X/.4=50000 | | F(x)=x^4+2x^3-43x^2-44x+84 | | 9-3n=3 | | Y=1/3sin3x | | 4y=0+4 | | 170p+60c=2700 | | v=gr^2h | | 1995-1987= | | 56-x+5=48 | | 3x+6*14=18*3x | | 20-x+3=18 | | 45-x+10=20 | | 30-x+20=45 | | 2b^2+4b=70 | | -2(3v-7)+8v=4+5(4v-1) | | 6(8b+3)-5= | | 40-20+x=43 | | 6x=2x+48 | | 2x-4*x+6=0 | | 6x=1x+35 | | -10n-8=-11n+2 | | 4x+11=6x+5 | | 60-x+10=20 | | 72-x+20=70 | | 55-x+38=62 |

Equations solver categories