8z^3-12z^2+6z-1-8i=0

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Solution for 8z^3-12z^2+6z-1-8i=0 equation:


Simplifying
8z3 + -12z2 + 6z + -1 + -8i = 0

Reorder the terms:
-1 + -8i + 6z + -12z2 + 8z3 = 0

Solving
-1 + -8i + 6z + -12z2 + 8z3 = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + -8i + 6z + -12z2 + 1 + 8z3 = 0 + 1

Reorder the terms:
-1 + 1 + -8i + 6z + -12z2 + 8z3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8i + 6z + -12z2 + 8z3 = 0 + 1
-8i + 6z + -12z2 + 8z3 = 0 + 1

Combine like terms: 0 + 1 = 1
-8i + 6z + -12z2 + 8z3 = 1

Add '-6z' to each side of the equation.
-8i + 6z + -12z2 + -6z + 8z3 = 1 + -6z

Reorder the terms:
-8i + 6z + -6z + -12z2 + 8z3 = 1 + -6z

Combine like terms: 6z + -6z = 0
-8i + 0 + -12z2 + 8z3 = 1 + -6z
-8i + -12z2 + 8z3 = 1 + -6z

Add '12z2' to each side of the equation.
-8i + -12z2 + 12z2 + 8z3 = 1 + -6z + 12z2

Combine like terms: -12z2 + 12z2 = 0
-8i + 0 + 8z3 = 1 + -6z + 12z2
-8i + 8z3 = 1 + -6z + 12z2

Add '-8z3' to each side of the equation.
-8i + 8z3 + -8z3 = 1 + -6z + 12z2 + -8z3

Combine like terms: 8z3 + -8z3 = 0
-8i + 0 = 1 + -6z + 12z2 + -8z3
-8i = 1 + -6z + 12z2 + -8z3

Divide each side by '-8'.
i = -0.125 + 0.75z + -1.5z2 + z3

Simplifying
i = -0.125 + 0.75z + -1.5z2 + z3

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