(2+n)*(2+n)=

Solution for (2+n)*(2+n)= equation:

Simplifying
(2 + n)(2 + n) = 0

Multiply (2 + n) * (2 + n)
(2(2 + n) + n(2 + n)) = 0
((2 * 2 + n * 2) + n(2 + n)) = 0
((4 + 2n) + n(2 + n)) = 0
(4 + 2n + (2 * n + n * n)) = 0
(4 + 2n + (2n + n2)) = 0

Combine like terms: 2n + 2n = 4n
(4 + 4n + n2) = 0

Solving
4 + 4n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + n)(2 + n) = 0

Subproblem 1
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2
Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2
Solution
n = {-2, -2}