x^8-29x^4=100

Simple and best practice solution for x^8-29x^4=100 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^8-29x^4=100 equation: 


Simplifying
x8 + -29x4 = 100

Reorder the terms:
-29x4 + x8 = 100

Solving
-29x4 + x8 = 100

Solving for variable 'x'.

Reorder the terms:
-100 + -29x4 + x8 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + -29x4 + x8 = 0

Begin completing the square.

Move the constant term to the right:

Add '100' to each side of the equation.
-100 + -29x4 + 100 + x8 = 0 + 100

Reorder the terms:
-100 + 100 + -29x4 + x8 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + -29x4 + x8 = 0 + 100
-29x4 + x8 = 0 + 100

Combine like terms: 0 + 100 = 100
-29x4 + x8 = 100

The x term is -29x4.  Take half its coefficient (-14.5).
Square it (210.25) and add it to both sides.

Add '210.25' to each side of the equation.
-29x4 + 210.25 + x8 = 100 + 210.25

Reorder the terms:
210.25 + -29x4 + x8 = 100 + 210.25

Combine like terms: 100 + 210.25 = 310.25
210.25 + -29x4 + x8 = 310.25

Factor a perfect square on the left side:
(x4 + -14.5)(x4 + -14.5) = 310.25

Calculate the square root of the right side: 17.613914954

Break this problem into two subproblems by setting 
(x4 + -14.5) equal to 17.613914954 and -17.613914954.


Subproblem 1
x4 + -14.5 = 17.613914954

Simplifying
x4 + -14.5 = 17.613914954

Reorder the terms:
-14.5 + x4 = 17.613914954

Solving
-14.5 + x4 = 17.613914954

Solving for variable 'x'.

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

Add '14.5' to each side of the equation.
-14.5 + 14.5 + x4 = 17.613914954 + 14.5

Combine like terms: -14.5 + 14.5 = 0.0
0.0 + x4 = 17.613914954 + 14.5
x4 = 17.613914954 + 14.5

Combine like terms: 17.613914954 + 14.5 = 32.113914954
x4 = 32.113914954

Simplifying
x4 = 32.113914954

Reorder the terms:
-32.113914954 + x4 = 32.113914954 + -32.113914954

Combine like terms: 32.113914954 + -32.113914954 = 0.000000000
-32.113914954 + x4 = 0.000000000

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


Subproblem 2
x4 + -14.5 = -17.613914954

Simplifying
x4 + -14.5 = -17.613914954

Reorder the terms:
-14.5 + x4 = -17.613914954

Solving
-14.5 + x4 = -17.613914954

Solving for variable 'x'.

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

Add '14.5' to each side of the equation.
-14.5 + 14.5 + x4 = -17.613914954 + 14.5

Combine like terms: -14.5 + 14.5 = 0.0
0.0 + x4 = -17.613914954 + 14.5
x4 = -17.613914954 + 14.5

Combine like terms: -17.613914954 + 14.5 = -3.113914954
x4 = -3.113914954

Simplifying
x4 = -3.113914954

Reorder the terms:
3.113914954 + x4 = -3.113914954 + 3.113914954

Combine like terms: -3.113914954 + 3.113914954 = 0.000000000
3.113914954 + x4 = 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:

| 4[3x-3]= | | -8x=-6x-14 | | k(8k-5)=0 | | 12n+5.1=44.7 | | 5a^2b^3(-3a^4b^4)=0 | | 1/2y=12/5 | | 8n-4=34 | | 3(8x-5)+6x+45=180 | | -40+q=37 | | (8-v)(4v-1)=0 | | 4(x+1)2=-100 | | 5(2x+3)+5x= | | 100=.42x+.0085x^2 | | (4n+5)(3n-1)=0 | | 4(m+1)-9=3 | | 5x^2z^2*8xz^3=0 | | 5=2(k+2)-3 | | -3=2(r+-4)+-1 | | 2(7+5y)= | | (3+8*8)*8= | | x^2+12xy+20y^2=0 | | 52=4+2x | | 12a^5+8a=0 | | 7-x=-14+2x | | (4x+9)+(-5x+8)= | | 8=2(v+2) | | 2(f+1)=6 | | 3x+2=8x-48 | | 44=-6x-2(-7x+2) | | 225/15 | | 7x^2-11xy-6y^2= | | 5(C-1)=3(C+7) |

Equations solver categories