r^4=2r^2+4r-1

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Solution for r^4=2r^2+4r-1 equation: 


Simplifying
r4 = 2r2 + 4r + -1

Reorder the terms:
r4 = -1 + 4r + 2r2

Solving
r4 = -1 + 4r + 2r2

Solving for variable 'r'.

Reorder the terms:
1 + -4r + -2r2 + r4 = -1 + 4r + 2r2 + 1 + -4r + -2r2

Reorder the terms:
1 + -4r + -2r2 + r4 = -1 + 1 + 4r + -4r + 2r2 + -2r2

Combine like terms: -1 + 1 = 0
1 + -4r + -2r2 + r4 = 0 + 4r + -4r + 2r2 + -2r2
1 + -4r + -2r2 + r4 = 4r + -4r + 2r2 + -2r2

Combine like terms: 4r + -4r = 0
1 + -4r + -2r2 + r4 = 0 + 2r2 + -2r2
1 + -4r + -2r2 + r4 = 2r2 + -2r2

Combine like terms: 2r2 + -2r2 = 0
1 + -4r + -2r2 + r4 = 0

The solution to this equation could not be determined.

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