(1+i)2=(-1+i)

Solution for (1+i)2=(-1+i) equation:

Simplifying
(1 + i) * 2 = (-1 + i)

Reorder the terms for easier multiplication:
2(1 + i) = (-1 + i)
(1 * 2 + i * 2) = (-1 + i)
(2 + 2i) = (-1 + i)

Remove parenthesis around (-1 + i)
2 + 2i = -1 + i

Solving
2 + 2i = -1 + i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
2 + 2i + -1i = -1 + i + -1i

Combine like terms: 2i + -1i = 1i
2 + 1i = -1 + i + -1i

Combine like terms: i + -1i = 0
2 + 1i = -1 + 0
2 + 1i = -1

Add '-2' to each side of the equation.
2 + -2 + 1i = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 1i = -1 + -2
1i = -1 + -2

Combine like terms: -1 + -2 = -3
1i = -3

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

Simplifying
i = -3