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Simplifying
(-11 + i)(-11 + -1i) = 0
Multiply (-11 + i) * (-11 + -1i)
(-11(-11 + -1i) + i(-11 + -1i)) = 0
((-11 * -11 + -1i * -11) + i(-11 + -1i)) = 0
((121 + 11i) + i(-11 + -1i)) = 0
(121 + 11i + (-11 * i + -1i * i)) = 0
(121 + 11i + (-11i + -1i2)) = 0
Combine like terms: 11i + -11i = 0
(121 + 0 + -1i2) = 0
(121 + -1i2) = 0
Solving
121 + -1i2 = 0
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-121' to each side of the equation.
121 + -121 + -1i2 = 0 + -121
Combine like terms: 121 + -121 = 0
0 + -1i2 = 0 + -121
-1i2 = 0 + -121
Combine like terms: 0 + -121 = -121
-1i2 = -121
Divide each side by '-1'.
i2 = 121
Simplifying
i2 = 121
Take the square root of each side:
i = {-11, 11}
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