3x^4-48x^2-32=0

Simple and best practice solution for 3x^4-48x^2-32=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^4-48x^2-32=0 equation: 


Simplifying
3x4 + -48x2 + -32 = 0

Reorder the terms:
-32 + -48x2 + 3x4 = 0

Solving
-32 + -48x2 + 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'.
-10.66666667 + -16x2 + x4 = 0

Move the constant term to the right:

Add '10.66666667' to each side of the equation.
-10.66666667 + -16x2 + 10.66666667 + x4 = 0 + 10.66666667

Reorder the terms:
-10.66666667 + 10.66666667 + -16x2 + x4 = 0 + 10.66666667

Combine like terms: -10.66666667 + 10.66666667 = 0.00000000
0.00000000 + -16x2 + x4 = 0 + 10.66666667
-16x2 + x4 = 0 + 10.66666667

Combine like terms: 0 + 10.66666667 = 10.66666667
-16x2 + x4 = 10.66666667

The x term is -16x2.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x2 + 64 + x4 = 10.66666667 + 64

Reorder the terms:
64 + -16x2 + x4 = 10.66666667 + 64

Combine like terms: 10.66666667 + 64 = 74.66666667
64 + -16x2 + x4 = 74.66666667

Factor a perfect square on the left side:
(x2 + -8)(x2 + -8) = 74.66666667

Calculate the square root of the right side: 8.640987598

Break this problem into two subproblems by setting 
(x2 + -8) equal to 8.640987598 and -8.640987598.


Subproblem 1
x2 + -8 = 8.640987598

Simplifying
x2 + -8 = 8.640987598

Reorder the terms:
-8 + x2 = 8.640987598

Solving
-8 + x2 = 8.640987598

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x2 = 8.640987598 + 8

Combine like terms: -8 + 8 = 0
0 + x2 = 8.640987598 + 8
x2 = 8.640987598 + 8

Combine like terms: 8.640987598 + 8 = 16.640987598
x2 = 16.640987598

Simplifying
x2 = 16.640987598

Take the square root of each side:
x = {-4.079336662, 4.079336662}


Subproblem 2
x2 + -8 = -8.640987598

Simplifying
x2 + -8 = -8.640987598

Reorder the terms:
-8 + x2 = -8.640987598

Solving
-8 + x2 = -8.640987598

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x2 = -8.640987598 + 8

Combine like terms: -8 + 8 = 0
0 + x2 = -8.640987598 + 8
x2 = -8.640987598 + 8

Combine like terms: -8.640987598 + 8 = -0.640987598
x2 = -0.640987598

Simplifying
x2 = -0.640987598

Reorder the terms:
0.640987598 + x2 = -0.640987598 + 0.640987598

Combine like terms: -0.640987598 + 0.640987598 = 0.000000000
0.640987598 + 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:

| F(6)=-2x-3 | | -1/4x=-20.4 | | 1.01(1.22)(7-x)=8 | | 0.2(x+0.5)+5.24=1.5x+0.7(x+2.2) | | 6x^2+2x-9x-3=0 | | x/-3=-3-(-7) | | (x^(3/4))/(x^(-3/4)) | | 4x^2+4(-2.25x-1x)x+9=0 | | 0.2(x+0.5)+5.24=1.5x+0.7(x+22) | | -4=-7+u | | 8x^2+16x-13=0 | | y=(-143.3)8x^2+1823.3x+6820 | | X^3+9x^2+27x+35=0 | | 1270.444=2*3.14r^2+2*3.14r*21.9 | | 57+64+5x+4=180 | | 1+2t^2+t^4=1 | | 38=12=2/5x | | log0.7/log2= | | .5+6=-7 | | x+0.18x=24000 | | x-(3/7)=5 | | 1/3×9×3 | | y=logx^2 | | 5-5=11x+7x | | -8w+9=5(w+7) | | y/x=11 | | x+20=48 | | 6m^2+30m=0 | | t^4+2t^2=0 | | (X+19)(4x+1)= | | x+36=9x-14 | | 5+70-555*6=x |

Equations solver categories