x^2+6x+1=k(x^2+1)

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Solution for x^2+6x+1=k(x^2+1) equation:


Simplifying
x2 + 6x + 1 = k(x2 + 1)

Reorder the terms:
1 + 6x + x2 = k(x2 + 1)

Reorder the terms:
1 + 6x + x2 = k(1 + x2)
1 + 6x + x2 = (1 * k + x2 * k)
1 + 6x + x2 = (1k + kx2)

Solving
1 + 6x + x2 = 1k + kx2

Solving for variable 'x'.

Reorder the terms:
1 + -1k + -1kx2 + 6x + x2 = 1k + kx2 + -1k + -1kx2

Reorder the terms:
1 + -1k + -1kx2 + 6x + x2 = 1k + -1k + kx2 + -1kx2

Combine like terms: 1k + -1k = 0
1 + -1k + -1kx2 + 6x + x2 = 0 + kx2 + -1kx2
1 + -1k + -1kx2 + 6x + x2 = kx2 + -1kx2

Combine like terms: kx2 + -1kx2 = 0
1 + -1k + -1kx2 + 6x + x2 = 0

The solution to this equation could not be determined.

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