3x^4+24x^2-7=0

Simple and best practice solution for 3x^4+24x^2-7=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+24x^2-7=0 equation:


Simplifying
3x4 + 24x2 + -7 = 0

Reorder the terms:
-7 + 24x2 + 3x4 = 0

Solving
-7 + 24x2 + 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'.
-2.333333333 + 8x2 + x4 = 0

Move the constant term to the right:

Add '2.333333333' to each side of the equation.
-2.333333333 + 8x2 + 2.333333333 + x4 = 0 + 2.333333333

Reorder the terms:
-2.333333333 + 2.333333333 + 8x2 + x4 = 0 + 2.333333333

Combine like terms: -2.333333333 + 2.333333333 = 0.000000000
0.000000000 + 8x2 + x4 = 0 + 2.333333333
8x2 + x4 = 0 + 2.333333333

Combine like terms: 0 + 2.333333333 = 2.333333333
8x2 + x4 = 2.333333333

The x term is 8x2.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x2 + 16 + x4 = 2.333333333 + 16

Reorder the terms:
16 + 8x2 + x4 = 2.333333333 + 16

Combine like terms: 2.333333333 + 16 = 18.333333333
16 + 8x2 + x4 = 18.333333333

Factor a perfect square on the left side:
(x2 + 4)(x2 + 4) = 18.333333333

Calculate the square root of the right side: 4.281744193

Break this problem into two subproblems by setting 
(x2 + 4) equal to 4.281744193 and -4.281744193.

Subproblem 1

x2 + 4 = 4.281744193 Simplifying x2 + 4 = 4.281744193 Reorder the terms: 4 + x2 = 4.281744193 Solving 4 + x2 = 4.281744193 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x2 = 4.281744193 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = 4.281744193 + -4 x2 = 4.281744193 + -4 Combine like terms: 4.281744193 + -4 = 0.281744193 x2 = 0.281744193 Simplifying x2 = 0.281744193 Take the square root of each side: x = {-0.530795811, 0.530795811}

Subproblem 2

x2 + 4 = -4.281744193 Simplifying x2 + 4 = -4.281744193 Reorder the terms: 4 + x2 = -4.281744193 Solving 4 + x2 = -4.281744193 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x2 = -4.281744193 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = -4.281744193 + -4 x2 = -4.281744193 + -4 Combine like terms: -4.281744193 + -4 = -8.281744193 x2 = -8.281744193 Simplifying x2 = -8.281744193 Reorder the terms: 8.281744193 + x2 = -8.281744193 + 8.281744193 Combine like terms: -8.281744193 + 8.281744193 = 0.000000000 8.281744193 + 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:

| 9x+27x-7=9(4x+6) | | -5.2k+6.48=-7k | | -1k-18=-5-1k-13 | | 15x^2y-6xy=0 | | 4z+7=11 | | -8=x-2.5 | | 3(x+12)=3x+34 | | Y=9-2y | | -5.2k+6.4=-7k | | 355-5a=5a | | 600+.1x=y | | 2x-5=(-3)+2x | | 7x+13x-7=5(4x+1) | | -11.1w+18.19=11.23+1.92-16.7w | | 2.7z-4.17=7.332 | | x/35=8/10 | | 89+5x-24=180 | | 7x+13x=7+5(4x+1) | | 1.6x+2.8=3.2x-2 | | (-13X-2)+(-12)= | | 15.1y=9.8y-0.53 | | -3a-8+7a=34+9a-2 | | b-8b=49 | | -13X-2= | | -4p+7.35=-19.71-6.2p | | 1996-24y=1229-11y | | -3(8x-5)=-129 | | 155v+7500=0 | | -4(4x+8)=-112 | | 7z=6z-6 | | T+5=t-18 | | 600+.1x=1240+.08x |

Equations solver categories