z^3+3sqrt(-1)z^2-3z-9sqrt(-1)=0

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Solution for z^3+3sqrt(-1)z^2-3z-9sqrt(-1)=0 equation:


Simplifying
z3 + 3sqrt(-1) * z2 + -3z + -9sqrt(-1) = 0

Reorder the terms for easier multiplication:
z3 + 3 * -1qrst * z2 + -3z + -9sqrt(-1) = 0

Multiply 3 * -1
z3 + -3qrst * z2 + -3z + -9sqrt(-1) = 0

Multiply qrst * z2
z3 + -3qrstz2 + -3z + -9sqrt(-1) = 0

Reorder the terms for easier multiplication:
z3 + -3qrstz2 + -3z + -9 * -1qrst = 0

Multiply -9 * -1
z3 + -3qrstz2 + -3z + 9qrst = 0

Reorder the terms:
9qrst + -3qrstz2 + -3z + z3 = 0

Solving
9qrst + -3qrstz2 + -3z + z3 = 0

Solving for variable 'q'.

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

Add '3z' to each side of the equation.
9qrst + -3qrstz2 + -3z + 3z + z3 = 0 + 3z

Combine like terms: -3z + 3z = 0
9qrst + -3qrstz2 + 0 + z3 = 0 + 3z
9qrst + -3qrstz2 + z3 = 0 + 3z
Remove the zero:
9qrst + -3qrstz2 + z3 = 3z

Add '-1z3' to each side of the equation.
9qrst + -3qrstz2 + z3 + -1z3 = 3z + -1z3

Combine like terms: z3 + -1z3 = 0
9qrst + -3qrstz2 + 0 = 3z + -1z3
9qrst + -3qrstz2 = 3z + -1z3

Reorder the terms:
9qrst + -3qrstz2 + -3z + z3 = 3z + -3z + -1z3 + z3

Combine like terms: 3z + -3z = 0
9qrst + -3qrstz2 + -3z + z3 = 0 + -1z3 + z3
9qrst + -3qrstz2 + -3z + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
9qrst + -3qrstz2 + -3z + z3 = 0

The solution to this equation could not be determined.

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