r(z^2-6)+(z^2-6)=0

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Solution for r(z^2-6)+(z^2-6)=0 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.

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