r(z^2-13)+(z^2-13)=0

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Solution for r(z^2-13)+(z^2-13)=0 equation:


Simplifying
r(z2 + -13) + (z2 + -13) = 0

Reorder the terms:
r(-13 + z2) + (z2 + -13) = 0
(-13 * r + z2 * r) + (z2 + -13) = 0
(-13r + rz2) + (z2 + -13) = 0

Reorder the terms:
-13r + rz2 + (-13 + z2) = 0

Remove parenthesis around (-13 + z2)
-13r + rz2 + -13 + z2 = 0

Reorder the terms:
-13 + -13r + rz2 + z2 = 0

Solving
-13 + -13r + rz2 + z2 = 0

Solving for variable 'r'.

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

Add '13' to each side of the equation.
-13 + -13r + rz2 + 13 + z2 = 0 + 13

Reorder the terms:
-13 + 13 + -13r + rz2 + z2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -13r + rz2 + z2 = 0 + 13
-13r + rz2 + z2 = 0 + 13

Combine like terms: 0 + 13 = 13
-13r + rz2 + z2 = 13

Add '-1z2' to each side of the equation.
-13r + rz2 + z2 + -1z2 = 13 + -1z2

Combine like terms: z2 + -1z2 = 0
-13r + rz2 + 0 = 13 + -1z2
-13r + rz2 = 13 + -1z2

Reorder the terms:
-13 + -13r + rz2 + z2 = 13 + -1z2 + -13 + z2

Reorder the terms:
-13 + -13r + rz2 + z2 = 13 + -13 + -1z2 + z2

Combine like terms: 13 + -13 = 0
-13 + -13r + rz2 + z2 = 0 + -1z2 + z2
-13 + -13r + rz2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-13 + -13r + rz2 + z2 = 0

The solution to this equation could not be determined.

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