z^2+z*abs(z)+abs(z^2)=0

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Solution for z^2+z*abs(z)+abs(z^2)=0 equation:


Simplifying
z2 + z * abs(z) + abs(z2) = 0

Multiply z * abs
z2 + absz * z + abs(z2) = 0

Multiply absz * z
z2 + absz2 + abs(z2) = 0

Multiply abs * z2
z2 + absz2 + absz2 = 0

Reorder the terms:
absz2 + absz2 + z2 = 0

Combine like terms: absz2 + absz2 = 2absz2
2absz2 + z2 = 0

Solving
2absz2 + z2 = 0

Solving for variable 'a'.

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

Add '-1z2' to each side of the equation.
2absz2 + z2 + -1z2 = 0 + -1z2

Combine like terms: z2 + -1z2 = 0
2absz2 + 0 = 0 + -1z2
2absz2 = 0 + -1z2
Remove the zero:
2absz2 = -1z2

Divide each side by '2bsz2'.
a = -0.5b-1s-1

Simplifying
a = -0.5b-1s-1

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