x^4+4a^2x^2-21a^4=0

Simple and best practice solution for x^4+4a^2x^2-21a^4=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 x^4+4a^2x^2-21a^4=0 equation: 


Simplifying
x4 + 4a2x2 + -21a4 = 0

Reorder the terms:
4a2x2 + -21a4 + x4 = 0

Solving
4a2x2 + -21a4 + x4 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7a2 + -1x2)(3a2 + -1x2) = 0


Subproblem 1
Set the factor '(-7a2 + -1x2)' equal to zero and attempt to solve:

Simplifying
-7a2 + -1x2 = 0

Solving
-7a2 + -1x2 = 0

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

Add 'x2' to each side of the equation.
-7a2 + -1x2 + x2 = 0 + x2

Combine like terms: -1x2 + x2 = 0
-7a2 + 0 = 0 + x2
-7a2 = 0 + x2
Remove the zero:
-7a2 = x2

Divide each side by '-7'.
a2 = -0.1428571429x2

Simplifying
a2 = -0.1428571429x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3a2 + -1x2)' equal to zero and attempt to solve:

Simplifying
3a2 + -1x2 = 0

Solving
3a2 + -1x2 = 0

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

Add 'x2' to each side of the equation.
3a2 + -1x2 + x2 = 0 + x2

Combine like terms: -1x2 + x2 = 0
3a2 + 0 = 0 + x2
3a2 = 0 + x2
Remove the zero:
3a2 = x2

Divide each side by '3'.
a2 = 0.3333333333x2

Simplifying
a2 = 0.3333333333x2

Take the square root of each side:
a = {-0.577350269x, 0.577350269x}
Solution
a = {-0.577350269x, 0.577350269x}

See similar equations:

| x^2+3x-5=3 | | 6x+256=15x-14 | | -28n+-30= | | 5(3m-7)=5m(6)-3 | | 48x^2-32x-60=0 | | 8+2(3-3r)=34+4r | | 5+16p-1=7p+46-5p | | 36x-108= | | 6a-4a=5 | | 1x=240-x | | 0=-2t(t-14) | | 3(x+1)=-3(x-4)+5 | | y=34+-2(3y-2)-5x | | 1x=240-4x | | 5+x=222 | | 6.6=-3+x | | (3c+2)+4(1.3c-5)=x | | y=5-1.38(x-2.5) | | -16t^2+12t+6=8 | | 4(5y-3)=8y | | 13-8X=7X-29X | | 4(p-6)=18 | | y=-3.47(x-7)-2 | | x^3-4x=5 | | 2(3-y)+7=(y+2)5 | | 4x-11=-106-9x | | 4(p-6)p=6 | | n+30=49 | | 2x-2=10x-73 | | 7(t-5)+5t=4(3t+5)-12 | | 2a+2(a-4)=8(2a-3)+3a | | 4x+27=11x-37 |

Equations solver categories