r(z^3-3)-(z^3-3)=0

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Solution for r(z^3-3)-(z^3-3)=0 equation:


Simplifying
r(z3 + -3) + -1(z3 + -3) = 0

Reorder the terms:
r(-3 + z3) + -1(z3 + -3) = 0
(-3 * r + z3 * r) + -1(z3 + -3) = 0
(-3r + rz3) + -1(z3 + -3) = 0

Reorder the terms:
-3r + rz3 + -1(-3 + z3) = 0
-3r + rz3 + (-3 * -1 + z3 * -1) = 0
-3r + rz3 + (3 + -1z3) = 0

Reorder the terms:
3 + -3r + rz3 + -1z3 = 0

Solving
3 + -3r + rz3 + -1z3 = 0

Solving for variable 'r'.

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

Add '-3' to each side of the equation.
3 + -3r + rz3 + -3 + -1z3 = 0 + -3

Reorder the terms:
3 + -3 + -3r + rz3 + -1z3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3r + rz3 + -1z3 = 0 + -3
-3r + rz3 + -1z3 = 0 + -3

Combine like terms: 0 + -3 = -3
-3r + rz3 + -1z3 = -3

Add 'z3' to each side of the equation.
-3r + rz3 + -1z3 + z3 = -3 + z3

Combine like terms: -1z3 + z3 = 0
-3r + rz3 + 0 = -3 + z3
-3r + rz3 = -3 + z3

Reorder the terms:
3 + -3r + rz3 + -1z3 = -3 + z3 + 3 + -1z3

Reorder the terms:
3 + -3r + rz3 + -1z3 = -3 + 3 + z3 + -1z3

Combine like terms: -3 + 3 = 0
3 + -3r + rz3 + -1z3 = 0 + z3 + -1z3
3 + -3r + rz3 + -1z3 = z3 + -1z3

Combine like terms: z3 + -1z3 = 0
3 + -3r + rz3 + -1z3 = 0

The solution to this equation could not be determined.

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