z^7+3iz^2-2=0

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Solution for z^7+3iz^2-2=0 equation:


Simplifying
z7 + 3iz2 + -2 = 0

Reorder the terms:
-2 + 3iz2 + z7 = 0

Solving
-2 + 3iz2 + z7 = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 3iz2 + 2 + z7 = 0 + 2

Reorder the terms:
-2 + 2 + 3iz2 + z7 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3iz2 + z7 = 0 + 2
3iz2 + z7 = 0 + 2

Combine like terms: 0 + 2 = 2
3iz2 + z7 = 2

Add '-1z7' to each side of the equation.
3iz2 + z7 + -1z7 = 2 + -1z7

Combine like terms: z7 + -1z7 = 0
3iz2 + 0 = 2 + -1z7
3iz2 = 2 + -1z7

Divide each side by '3z2'.
i = 0.6666666667z-2 + -0.3333333333z5

Simplifying
i = 0.6666666667z-2 + -0.3333333333z5

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