3z^2+z-I=0

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


Simplifying
3z2 + z + -1I = 0

Reorder the terms:
-1I + z + 3z2 = 0

Solving
-1I + z + 3z2 = 0

Solving for variable 'I'.

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

Add '-1z' to each side of the equation.
-1I + z + -1z + 3z2 = 0 + -1z

Combine like terms: z + -1z = 0
-1I + 0 + 3z2 = 0 + -1z
-1I + 3z2 = 0 + -1z
Remove the zero:
-1I + 3z2 = -1z

Add '-3z2' to each side of the equation.
-1I + 3z2 + -3z2 = -1z + -3z2

Combine like terms: 3z2 + -3z2 = 0
-1I + 0 = -1z + -3z2
-1I = -1z + -3z2

Divide each side by '-1'.
I = z + 3z2

Simplifying
I = z + 3z2

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