r(z^2-7)-(z^2-7)=0

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Solution for r(z^2-7)-(z^2-7)=0 equation:


Simplifying
r(z2 + -7) + -1(z2 + -7) = 0

Reorder the terms:
r(-7 + z2) + -1(z2 + -7) = 0
(-7 * r + z2 * r) + -1(z2 + -7) = 0
(-7r + rz2) + -1(z2 + -7) = 0

Reorder the terms:
-7r + rz2 + -1(-7 + z2) = 0
-7r + rz2 + (-7 * -1 + z2 * -1) = 0
-7r + rz2 + (7 + -1z2) = 0

Reorder the terms:
7 + -7r + rz2 + -1z2 = 0

Solving
7 + -7r + rz2 + -1z2 = 0

Solving for variable 'r'.

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

Add '-7' to each side of the equation.
7 + -7r + rz2 + -7 + -1z2 = 0 + -7

Reorder the terms:
7 + -7 + -7r + rz2 + -1z2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -7r + rz2 + -1z2 = 0 + -7
-7r + rz2 + -1z2 = 0 + -7

Combine like terms: 0 + -7 = -7
-7r + rz2 + -1z2 = -7

Add 'z2' to each side of the equation.
-7r + rz2 + -1z2 + z2 = -7 + z2

Combine like terms: -1z2 + z2 = 0
-7r + rz2 + 0 = -7 + z2
-7r + rz2 = -7 + z2

Reorder the terms:
7 + -7r + rz2 + -1z2 = -7 + z2 + 7 + -1z2

Reorder the terms:
7 + -7r + rz2 + -1z2 = -7 + 7 + z2 + -1z2

Combine like terms: -7 + 7 = 0
7 + -7r + rz2 + -1z2 = 0 + z2 + -1z2
7 + -7r + rz2 + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
7 + -7r + rz2 + -1z2 = 0

The solution to this equation could not be determined.

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