z^2-2(1+sqt(-1))z-2=0

Solution for z^2-2(1+sqt(-1))z-2=0 equation:

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

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

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

Reorder the terms:
z2 + (2qstz + -2z) + -2 = 0
z2 + (2qstz + -2z) + -2 = 0

Reorder the terms:
-2 + 2qstz + -2z + z2 = 0

Solving
-2 + 2qstz + -2z + z2 = 0

Solving for variable 'q'.

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

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

Reorder the terms:
-2 + 2 + 2qstz + -2z + z2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2qstz + -2z + z2 = 0 + 2
2qstz + -2z + z2 = 0 + 2

Combine like terms: 0 + 2 = 2
2qstz + -2z + z2 = 2

Add '2z' to each side of the equation.
2qstz + -2z + 2z + z2 = 2 + 2z

Combine like terms: -2z + 2z = 0
2qstz + 0 + z2 = 2 + 2z
2qstz + z2 = 2 + 2z

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

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

Divide each side by '2stz'.
q = s-1t-1z-1 + s-1t-1 + -0.5s-1t-1z

Simplifying
q = s-1t-1z-1 + s-1t-1 + -0.5s-1t-1z

Reorder the terms:
q = s-1t-1 + s-1t-1z-1 + -0.5s-1t-1z