r(z^2+6)+(z^2+6)=

Solution for r(z^2+6)+(z^2+6)= equation:

Simplifying
r(z2 + 6) + (z2 + 6) = 0

Reorder the terms:
r(6 + z2) + (z2 + 6) = 0
(6 * r + z2 * r) + (z2 + 6) = 0
(6r + rz2) + (z2 + 6) = 0

Reorder the terms:
6r + rz2 + (6 + z2) = 0

Remove parenthesis around (6 + z2)
6r + rz2 + 6 + z2 = 0

Reorder the terms:
6 + 6r + rz2 + z2 = 0

Solving
6 + 6r + rz2 + z2 = 0

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + 6r + rz2 + -6 + z2 = 0 + -6

Reorder the terms:
6 + -6 + 6r + rz2 + z2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 6r + rz2 + z2 = 0 + -6
6r + rz2 + z2 = 0 + -6

Combine like terms: 0 + -6 = -6
6r + rz2 + z2 = -6

Add '-1z2' to each side of the equation.
6r + rz2 + z2 + -1z2 = -6 + -1z2

Combine like terms: z2 + -1z2 = 0
6r + rz2 + 0 = -6 + -1z2
6r + rz2 = -6 + -1z2

Reorder the terms:
6 + 6r + rz2 + z2 = -6 + -1z2 + 6 + z2

Reorder the terms:
6 + 6r + rz2 + z2 = -6 + 6 + -1z2 + z2

Combine like terms: -6 + 6 = 0
6 + 6r + rz2 + z2 = 0 + -1z2 + z2
6 + 6r + rz2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
6 + 6r + rz2 + z2 = 0

The solution to this equation could not be determined.