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

Solution for (-6+i)(-6-1)= equation:

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

Combine like terms: -6 + -1 = -7
(-6 + i)(-7) = 0

Reorder the terms for easier multiplication:
-7(-6 + i) = 0
(-6 * -7 + i * -7) = 0
(42 + -7i) = 0

Solving
42 + -7i = 0

Solving for variable 'i'.

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

Add '-42' to each side of the equation.
42 + -42 + -7i = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7i = 0 + -42
-7i = 0 + -42

Combine like terms: 0 + -42 = -42
-7i = -42

Divide each side by '-7'.
i = 6

Simplifying
i = 6