12x^4-6x^2+2=0

Simple and best practice solution for 12x^4-6x^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 12x^4-6x^2+2=0 equation:


Simplifying
12x4 + -6x2 + 2 = 0

Reorder the terms:
2 + -6x2 + 12x4 = 0

Solving
2 + -6x2 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -3x2 + 6x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -3x2 + 6x4)' equal to zero and attempt to solve: Simplifying 1 + -3x2 + 6x4 = 0 Solving 1 + -3x2 + 6x4 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.1666666667 + -0.5x2 + x4 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + -0.5x2 + -0.1666666667 + x4 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + -0.5x2 + x4 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + -0.5x2 + x4 = 0 + -0.1666666667 -0.5x2 + x4 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 -0.5x2 + x4 = -0.1666666667 The x term is -0.5x2. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x2 + 0.0625 + x4 = -0.1666666667 + 0.0625 Reorder the terms: 0.0625 + -0.5x2 + x4 = -0.1666666667 + 0.0625 Combine like terms: -0.1666666667 + 0.0625 = -0.1041666667 0.0625 + -0.5x2 + x4 = -0.1041666667 Factor a perfect square on the left side: (x2 + -0.25)(x2 + -0.25) = -0.1041666667 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:

| x-14=5x-34 | | y=5x-11 | | 2x^2=-5+11x | | -8+m=8 | | 7+a=16 | | 6b=15 | | x+4=3x+-2 | | 8-(x-2)=11 | | 4x-4+x+24=6x+20-4x | | 10-3x=2x-8x-44 | | 4m-7n=p | | 14x+13x= | | 15a+(11a)= | | 9m-m= | | -a+9a= | | 7x-8x= | | M+(4m)= | | 17x+x= | | 6x+3=-9 | | 10.24+x=6x | | 7m-1.2=4.7 | | -5+x=8 | | 0.125(x-2)=128(1-x) | | 0=-16t^2+48t+10 | | x^2+8x+16=36 | | F(2.5)=-4x | | 2x^2-3x-2=0 | | 4p-2=3p+2 | | (x+5)(x-2)=x(x+5) | | 5y+24x=435 | | 3p-5=31 | | 6.52+x=2.75x |

Equations solver categories