(-12+i)(-12-i)=

Solution for (-12+i)(-12-i)= equation:

Simplifying
(-12 + i)(-12 + -1i) = 0

Multiply (-12 + i) * (-12 + -1i)
(-12(-12 + -1i) + i(-12 + -1i)) = 0
((-12 * -12 + -1i * -12) + i(-12 + -1i)) = 0
((144 + 12i) + i(-12 + -1i)) = 0
(144 + 12i + (-12 * i + -1i * i)) = 0
(144 + 12i + (-12i + -1i2)) = 0

Combine like terms: 12i + -12i = 0
(144 + 0 + -1i2) = 0
(144 + -1i2) = 0

Solving
144 + -1i2 = 0

Solving for variable 'i'.

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

Add '-144' to each side of the equation.
144 + -144 + -1i2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -1i2 = 0 + -144
-1i2 = 0 + -144

Combine like terms: 0 + -144 = -144
-1i2 = -144

Divide each side by '-1'.
i2 = 144

Simplifying
i2 = 144

Take the square root of each side:
i = {-12, 12}