z^2+6iz-13=0

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Solution for z^2+6iz-13=0 equation:


Simplifying
z2 + 6iz + -13 = 0

Reorder the terms:
-13 + 6iz + z2 = 0

Solving
-13 + 6iz + z2 = 0

Solving for variable 'i'.

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

Add '13' to each side of the equation.
-13 + 6iz + 13 + z2 = 0 + 13

Reorder the terms:
-13 + 13 + 6iz + z2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 6iz + z2 = 0 + 13
6iz + z2 = 0 + 13

Combine like terms: 0 + 13 = 13
6iz + z2 = 13

Add '-1z2' to each side of the equation.
6iz + z2 + -1z2 = 13 + -1z2

Combine like terms: z2 + -1z2 = 0
6iz + 0 = 13 + -1z2
6iz = 13 + -1z2

Divide each side by '6z'.
i = 2.166666667z-1 + -0.1666666667z

Simplifying
i = 2.166666667z-1 + -0.1666666667z

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