z^6-1+isqrt(3)=0

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Solution for z^6-1+isqrt(3)=0 equation:


Simplifying
z6 + -1 + isqrt(3) = 0

Reorder the terms for easier multiplication:
z6 + -1 + 3iqrst = 0

Reorder the terms:
-1 + 3iqrst + z6 = 0

Solving
-1 + 3iqrst + z6 = 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 + 3iqrst + 1 + z6 = 0 + 1

Reorder the terms:
-1 + 1 + 3iqrst + z6 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3iqrst + z6 = 0 + 1
3iqrst + z6 = 0 + 1

Combine like terms: 0 + 1 = 1
3iqrst + z6 = 1

Add '-1z6' to each side of the equation.
3iqrst + z6 + -1z6 = 1 + -1z6

Combine like terms: z6 + -1z6 = 0
3iqrst + 0 = 1 + -1z6
3iqrst = 1 + -1z6

Divide each side by '3qrst'.
i = 0.3333333333q-1r-1s-1t-1 + -0.3333333333q-1r-1s-1t-1z6

Simplifying
i = 0.3333333333q-1r-1s-1t-1 + -0.3333333333q-1r-1s-1t-1z6

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