Z^4+z^3=4z^2

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Solution for Z^4+z^3=4z^2 equation: 


Simplifying
Z4 + z3 = 4z2

Solving
Z4 + z3 = 4z2

Solving for variable 'Z'.

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

Add '-1z3' to each side of the equation.
Z4 + z3 + -1z3 = 4z2 + -1z3

Combine like terms: z3 + -1z3 = 0
Z4 + 0 = 4z2 + -1z3
Z4 = 4z2 + -1z3

Simplifying
Z4 = 4z2 + -1z3

Reorder the terms:
Z4 + -4z2 + z3 = 4z2 + -4z2 + -1z3 + z3

Combine like terms: 4z2 + -4z2 = 0
Z4 + -4z2 + z3 = 0 + -1z3 + z3
Z4 + -4z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
Z4 + -4z2 + z3 = 0

The solution to this equation could not be determined.

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