r(z^5+2)+(z^5+2)=0

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Solution for r(z^5+2)+(z^5+2)=0 equation:


Simplifying
r(z5 + 2) + (z5 + 2) = 0

Reorder the terms:
r(2 + z5) + (z5 + 2) = 0
(2 * r + z5 * r) + (z5 + 2) = 0
(2r + rz5) + (z5 + 2) = 0

Reorder the terms:
2r + rz5 + (2 + z5) = 0

Remove parenthesis around (2 + z5)
2r + rz5 + 2 + z5 = 0

Reorder the terms:
2 + 2r + rz5 + z5 = 0

Solving
2 + 2r + rz5 + z5 = 0

Solving for variable 'r'.

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

Add '-2' to each side of the equation.
2 + 2r + rz5 + -2 + z5 = 0 + -2

Reorder the terms:
2 + -2 + 2r + rz5 + z5 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2r + rz5 + z5 = 0 + -2
2r + rz5 + z5 = 0 + -2

Combine like terms: 0 + -2 = -2
2r + rz5 + z5 = -2

Add '-1z5' to each side of the equation.
2r + rz5 + z5 + -1z5 = -2 + -1z5

Combine like terms: z5 + -1z5 = 0
2r + rz5 + 0 = -2 + -1z5
2r + rz5 = -2 + -1z5

Reorder the terms:
2 + 2r + rz5 + z5 = -2 + -1z5 + 2 + z5

Reorder the terms:
2 + 2r + rz5 + z5 = -2 + 2 + -1z5 + z5

Combine like terms: -2 + 2 = 0
2 + 2r + rz5 + z5 = 0 + -1z5 + z5
2 + 2r + rz5 + z5 = -1z5 + z5

Combine like terms: -1z5 + z5 = 0
2 + 2r + rz5 + z5 = 0

The solution to this equation could not be determined.

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