z^2*(i+z^2)=-6

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Solution for z^2*(i+z^2)=-6 equation: 


Simplifying
z2(i + z2) = -6
(i * z2 + z2 * z2) = -6
(iz2 + z4) = -6

Solving
iz2 + z4 = -6

Solving for variable 'i'.

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

Add '-1z4' to each side of the equation.
iz2 + z4 + -1z4 = -6 + -1z4

Combine like terms: z4 + -1z4 = 0
iz2 + 0 = -6 + -1z4
iz2 = -6 + -1z4

Divide each side by 'z2'.
i = -6z-2 + -1z2

Simplifying
i = -6z-2 + -1z2

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