x^4+8x^2+1=5x(x^2+1)

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Solution for x^4+8x^2+1=5x(x^2+1) equation: 


Simplifying
x4 + 8x2 + 1 = 5x(x2 + 1)

Reorder the terms:
1 + 8x2 + x4 = 5x(x2 + 1)

Reorder the terms:
1 + 8x2 + x4 = 5x(1 + x2)
1 + 8x2 + x4 = (1 * 5x + x2 * 5x)
1 + 8x2 + x4 = (5x + 5x3)

Solving
1 + 8x2 + x4 = 5x + 5x3

Solving for variable 'x'.

Reorder the terms:
1 + -5x + 8x2 + -5x3 + x4 = 5x + 5x3 + -5x + -5x3

Reorder the terms:
1 + -5x + 8x2 + -5x3 + x4 = 5x + -5x + 5x3 + -5x3

Combine like terms: 5x + -5x = 0
1 + -5x + 8x2 + -5x3 + x4 = 0 + 5x3 + -5x3
1 + -5x + 8x2 + -5x3 + x4 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
1 + -5x + 8x2 + -5x3 + x4 = 0

The solution to this equation could not be determined.

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