x^8-8x^4+20=5

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Solution for x^8-8x^4+20=5 equation: 


Simplifying
x8 + -8x4 + 20 = 5

Reorder the terms:
20 + -8x4 + x8 = 5

Solving
20 + -8x4 + x8 = 5

Solving for variable 'x'.

Reorder the terms:
20 + -5 + -8x4 + x8 = 5 + -5

Combine like terms: 20 + -5 = 15
15 + -8x4 + x8 = 5 + -5

Combine like terms: 5 + -5 = 0
15 + -8x4 + x8 = 0

Factor a trinomial.
(3 + -1x4)(5 + -1x4) = 0


Subproblem 1
Set the factor '(3 + -1x4)' equal to zero and attempt to solve:

Simplifying
3 + -1x4 = 0

Solving
3 + -1x4 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x4 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x4 = 0 + -3
-1x4 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x4 = -3

Divide each side by '-1'.
x4 = 3

Simplifying
x4 = 3

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 '(5 + -1x4)' equal to zero and attempt to solve:

Simplifying
5 + -1x4 = 0

Solving
5 + -1x4 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x4 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x4 = 0 + -5
-1x4 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x4 = -5

Divide each side by '-1'.
x4 = 5

Simplifying
x4 = 5

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.

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