(2-i)z+8z^2=0

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Solution for (2-i)z+8z^2=0 equation:


Simplifying
(2 + -1i) * z + 8z2 = 0

Reorder the terms for easier multiplication:
z(2 + -1i) + 8z2 = 0
(2 * z + -1i * z) + 8z2 = 0

Reorder the terms:
(-1iz + 2z) + 8z2 = 0
(-1iz + 2z) + 8z2 = 0

Solving
-1iz + 2z + 8z2 = 0

Solving for variable 'i'.

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

Add '-2z' to each side of the equation.
-1iz + 2z + -2z + 8z2 = 0 + -2z

Combine like terms: 2z + -2z = 0
-1iz + 0 + 8z2 = 0 + -2z
-1iz + 8z2 = 0 + -2z
Remove the zero:
-1iz + 8z2 = -2z

Add '-8z2' to each side of the equation.
-1iz + 8z2 + -8z2 = -2z + -8z2

Combine like terms: 8z2 + -8z2 = 0
-1iz + 0 = -2z + -8z2
-1iz = -2z + -8z2

Divide each side by '-1z'.
i = 2 + 8z

Simplifying
i = 2 + 8z

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