(5-1)(n+1)=0

Solution for (5-1)(n+1)=0 equation:

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

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

Reorder the terms:
4(1 + n) = 0
(1 * 4 + n * 4) = 0
(4 + 4n) = 0

Solving
4 + 4n = 0

Solving for variable 'n'.

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

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

Combine like terms: 4 + -4 = 0
0 + 4n = 0 + -4
4n = 0 + -4

Combine like terms: 0 + -4 = -4
4n = -4

Divide each side by '4'.
n = -1

Simplifying
n = -1