z^4-(1+i)=0

Solution for z^4-(1+i)=0 equation:

Simplifying
z4 + -1(1 + i) = 0
z4 + (1 * -1 + i * -1) = 0
z4 + (-1 + -1i) = 0

Reorder the terms:
-1 + -1i + z4 = 0

Solving
-1 + -1i + z4 = 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 + -1i + 1 + z4 = 0 + 1

Reorder the terms:
-1 + 1 + -1i + z4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1i + z4 = 0 + 1
-1i + z4 = 0 + 1

Combine like terms: 0 + 1 = 1
-1i + z4 = 1

Add '-1z4' to each side of the equation.
-1i + z4 + -1z4 = 1 + -1z4

Combine like terms: z4 + -1z4 = 0
-1i + 0 = 1 + -1z4
-1i = 1 + -1z4

Divide each side by '-1'.
i = -1 + z4

Simplifying
i = -1 + z4