z^2+5iz-6=0

Solution for z^2+5iz-6=0 equation:

Simplifying
z2 + 5iz + -6 = 0

Reorder the terms:
-6 + 5iz + z2 = 0

Solving
-6 + 5iz + z2 = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 5iz + 6 + z2 = 0 + 6

Reorder the terms:
-6 + 6 + 5iz + z2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5iz + z2 = 0 + 6
5iz + z2 = 0 + 6

Combine like terms: 0 + 6 = 6
5iz + z2 = 6

Add '-1z2' to each side of the equation.
5iz + z2 + -1z2 = 6 + -1z2

Combine like terms: z2 + -1z2 = 0
5iz + 0 = 6 + -1z2
5iz = 6 + -1z2

Divide each side by '5z'.
i = 1.2z-1 + -0.2z

Simplifying
i = 1.2z-1 + -0.2z