(-6+i)(-6-i)=

Solution for (-6+i)(-6-i)= equation:

Simplifying
(-6 + i)(-6 + -1i) = 0

Multiply (-6 + i) * (-6 + -1i)
(-6(-6 + -1i) + i(-6 + -1i)) = 0
((-6 * -6 + -1i * -6) + i(-6 + -1i)) = 0
((36 + 6i) + i(-6 + -1i)) = 0
(36 + 6i + (-6 * i + -1i * i)) = 0
(36 + 6i + (-6i + -1i2)) = 0

Combine like terms: 6i + -6i = 0
(36 + 0 + -1i2) = 0
(36 + -1i2) = 0

Solving
36 + -1i2 = 0

Solving for variable 'i'.

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

Add '-36' to each side of the equation.
36 + -36 + -1i2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1i2 = 0 + -36
-1i2 = 0 + -36

Combine like terms: 0 + -36 = -36
-1i2 = -36

Divide each side by '-1'.
i2 = 36

Simplifying
i2 = 36

Take the square root of each side:
i = {-6, 6}