(5+i)(5-1)=

Solution for (5+i)(5-1)= equation:

Simplifying
(5 + i)(5 + -1) = 0

Combine like terms: 5 + -1 = 4
(5 + i)(4) = 0

Reorder the terms for easier multiplication:
4(5 + i) = 0
(5 * 4 + i * 4) = 0
(20 + 4i) = 0

Solving
20 + 4i = 0

Solving for variable 'i'.

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

Add '-20' to each side of the equation.
20 + -20 + 4i = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 4i = 0 + -20
4i = 0 + -20

Combine like terms: 0 + -20 = -20
4i = -20

Divide each side by '4'.
i = -5

Simplifying
i = -5