z^4-(5iz^2)-4=0

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Solution for z^4-(5iz^2)-4=0 equation:


Simplifying
z4 + -1(5iz2) + -4 = 0

Remove parenthesis around (5iz2)
z4 + -1 * 5iz2 + -4 = 0

Multiply -1 * 5
z4 + -5iz2 + -4 = 0

Reorder the terms:
-4 + -5iz2 + z4 = 0

Solving
-4 + -5iz2 + z4 = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + -5iz2 + 4 + z4 = 0 + 4

Reorder the terms:
-4 + 4 + -5iz2 + z4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5iz2 + z4 = 0 + 4
-5iz2 + z4 = 0 + 4

Combine like terms: 0 + 4 = 4
-5iz2 + z4 = 4

Add '-1z4' to each side of the equation.
-5iz2 + z4 + -1z4 = 4 + -1z4

Combine like terms: z4 + -1z4 = 0
-5iz2 + 0 = 4 + -1z4
-5iz2 = 4 + -1z4

Divide each side by '-5z2'.
i = -0.8z-2 + 0.2z2

Simplifying
i = -0.8z-2 + 0.2z2

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