(1+i)3=

Solution for (1+i)3= equation:

Simplifying
(1 + i) * 3 = 0

Reorder the terms for easier multiplication:
3(1 + i) = 0
(1 * 3 + i * 3) = 0
(3 + 3i) = 0

Solving
3 + 3i = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -3 + 3i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3i = 0 + -3
3i = 0 + -3

Combine like terms: 0 + -3 = -3
3i = -3

Divide each side by '3'.
i = -1

Simplifying
i = -1