3x^4+5x^2+1=0

Simple and best practice solution for 3x^4+5x^2+1=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+5x^2+1=0 equation: 


Simplifying
3x4 + 5x2 + 1 = 0

Reorder the terms:
1 + 5x2 + 3x4 = 0

Solving
1 + 5x2 + 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'.
0.3333333333 + 1.666666667x2 + x4 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 1.666666667x2 + -0.3333333333 + x4 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 1.666666667x2 + x4 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 1.666666667x2 + x4 = 0 + -0.3333333333
1.666666667x2 + x4 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
1.666666667x2 + x4 = -0.3333333333

The x term is 1.666666667x2.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x2 + 0.6944444447 + x4 = -0.3333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x2 + x4 = -0.3333333333 + 0.6944444447

Combine like terms: -0.3333333333 + 0.6944444447 = 0.3611111114
0.6944444447 + 1.666666667x2 + x4 = 0.3611111114

Factor a perfect square on the left side:
(x2 + 0.8333333335)(x2 + 0.8333333335) = 0.3611111114

Calculate the square root of the right side: 0.600925213

Break this problem into two subproblems by setting 
(x2 + 0.8333333335) equal to 0.600925213 and -0.600925213.


Subproblem 1
x2 + 0.8333333335 = 0.600925213

Simplifying
x2 + 0.8333333335 = 0.600925213

Reorder the terms:
0.8333333335 + x2 = 0.600925213

Solving
0.8333333335 + x2 = 0.600925213

Solving for variable 'x'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x2 = 0.600925213 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x2 = 0.600925213 + -0.8333333335
x2 = 0.600925213 + -0.8333333335

Combine like terms: 0.600925213 + -0.8333333335 = -0.2324081205
x2 = -0.2324081205

Simplifying
x2 = -0.2324081205

Reorder the terms:
0.2324081205 + x2 = -0.2324081205 + 0.2324081205

Combine like terms: -0.2324081205 + 0.2324081205 = 0.0000000000
0.2324081205 + x2 = 0.0000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.


Subproblem 2
x2 + 0.8333333335 = -0.600925213

Simplifying
x2 + 0.8333333335 = -0.600925213

Reorder the terms:
0.8333333335 + x2 = -0.600925213

Solving
0.8333333335 + x2 = -0.600925213

Solving for variable 'x'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x2 = -0.600925213 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x2 = -0.600925213 + -0.8333333335
x2 = -0.600925213 + -0.8333333335

Combine like terms: -0.600925213 + -0.8333333335 = -1.4342585465
x2 = -1.4342585465

Simplifying
x2 = -1.4342585465

Reorder the terms:
1.4342585465 + x2 = -1.4342585465 + 1.4342585465

Combine like terms: -1.4342585465 + 1.4342585465 = 0.0000000000
1.4342585465 + x2 = 0.0000000000

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:

| (5x-1)(4x-5u+6)= | | x+x+(x+4)+(x+4)= | | 4.905x^2+2t-8=0 | | 2(6s+4)-6s=3(2s+6)-21 | | 10x+4-3x+1=40 | | 7x-2x+6=5x+2 | | 0.55x+0.5(8-x)=.10(34) | | Y-2xy=15 | | -2p+8=6-(4p+5) | | -4n+5-3+4+n-6= | | 8-(m+1)=4(4m-2) | | 7+(5-8p)-4= | | 4x+(6x^2-16)2+2x=3x-12+4 | | 36+6+3= | | 0.45x+0.5x=x-3.5 | | 3(7s+2)-17x=2(2s+1)-6 | | 9(x+1)=5(x+4) | | 4x^2+20x-56=0 | | 0.8(x+80)+.2x=89 | | 5(p+5)=2(p-2) | | 7(k-8)=8(k+8) | | 6(n-8)=9(n+3) | | 3(a-2)=4(a-1) | | 2x=3(x-1) | | 0.30(24)+.05x=.15(24+x) | | -10=3-(6-n) | | 12-4=9 | | x+3x=x+21 | | 7v=8(v-7) | | 36x^2-23=121 | | 2(x-5)=9x | | 7x-2(x-4)=5x+2 |

Equations solver categories