(2r^2-z^3)(2r^2-z^3)(2r^2-z^3)=

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Solution for (2r^2-z^3)(2r^2-z^3)(2r^2-z^3)= equation: 


Simplifying
(2r2 + -1z3)(2r2 + -1z3)(2r2 + -1z3) = 0

Multiply (2r2 + -1z3) * (2r2 + -1z3)
(2r2 * (2r2 + -1z3) + -1z3 * (2r2 + -1z3))(2r2 + -1z3) = 0
((2r2 * 2r2 + -1z3 * 2r2) + -1z3 * (2r2 + -1z3))(2r2 + -1z3) = 0

Reorder the terms:
((-2r2z3 + 4r4) + -1z3 * (2r2 + -1z3))(2r2 + -1z3) = 0
((-2r2z3 + 4r4) + -1z3 * (2r2 + -1z3))(2r2 + -1z3) = 0
(-2r2z3 + 4r4 + (2r2 * -1z3 + -1z3 * -1z3))(2r2 + -1z3) = 0
(-2r2z3 + 4r4 + (-2r2z3 + 1z6))(2r2 + -1z3) = 0

Reorder the terms:
(-2r2z3 + -2r2z3 + 4r4 + 1z6)(2r2 + -1z3) = 0

Combine like terms: -2r2z3 + -2r2z3 = -4r2z3
(-4r2z3 + 4r4 + 1z6)(2r2 + -1z3) = 0

Multiply (-4r2z3 + 4r4 + 1z6) * (2r2 + -1z3)
(-4r2z3 * (2r2 + -1z3) + 4r4 * (2r2 + -1z3) + 1z6 * (2r2 + -1z3)) = 0
((2r2 * -4r2z3 + -1z3 * -4r2z3) + 4r4 * (2r2 + -1z3) + 1z6 * (2r2 + -1z3)) = 0

Reorder the terms:
((4r2z6 + -8r4z3) + 4r4 * (2r2 + -1z3) + 1z6 * (2r2 + -1z3)) = 0
((4r2z6 + -8r4z3) + 4r4 * (2r2 + -1z3) + 1z6 * (2r2 + -1z3)) = 0
(4r2z6 + -8r4z3 + (2r2 * 4r4 + -1z3 * 4r4) + 1z6 * (2r2 + -1z3)) = 0

Reorder the terms:
(4r2z6 + -8r4z3 + (-4r4z3 + 8r6) + 1z6 * (2r2 + -1z3)) = 0
(4r2z6 + -8r4z3 + (-4r4z3 + 8r6) + 1z6 * (2r2 + -1z3)) = 0
(4r2z6 + -8r4z3 + -4r4z3 + 8r6 + (2r2 * 1z6 + -1z3 * 1z6)) = 0
(4r2z6 + -8r4z3 + -4r4z3 + 8r6 + (2r2z6 + -1z9)) = 0

Reorder the terms:
(4r2z6 + 2r2z6 + -8r4z3 + -4r4z3 + 8r6 + -1z9) = 0

Combine like terms: 4r2z6 + 2r2z6 = 6r2z6
(6r2z6 + -8r4z3 + -4r4z3 + 8r6 + -1z9) = 0

Combine like terms: -8r4z3 + -4r4z3 = -12r4z3
(6r2z6 + -12r4z3 + 8r6 + -1z9) = 0

Solving
6r2z6 + -12r4z3 + 8r6 + -1z9 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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