(-3+i)(3+i)=

Solution for (-3+i)(3+i)= equation:

Simplifying
(-3 + i)(3 + i) = 0

Multiply (-3 + i) * (3 + i)
(-3(3 + i) + i(3 + i)) = 0
((3 * -3 + i * -3) + i(3 + i)) = 0
((-9 + -3i) + i(3 + i)) = 0
(-9 + -3i + (3 * i + i * i)) = 0
(-9 + -3i + (3i + i2)) = 0

Combine like terms: -3i + 3i = 0
(-9 + 0 + i2) = 0
(-9 + i2) = 0

Solving
-9 + i2 = 0

Solving for variable 'i'.

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

Add '9' to each side of the equation.
-9 + 9 + i2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + i2 = 0 + 9
i2 = 0 + 9

Combine like terms: 0 + 9 = 9
i2 = 9

Simplifying
i2 = 9

Take the square root of each side:
i = {-3, 3}