(x+1)(x+1)=16

Solution for (x+1)(x+1)=16 equation:

Simplifying
(x + 1)(x + 1) = 16

Reorder the terms:
(1 + x)(x + 1) = 16

Reorder the terms:
(1 + x)(1 + x) = 16

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) = 16
((1 * 1 + x * 1) + x(1 + x)) = 16
((1 + 1x) + x(1 + x)) = 16
(1 + 1x + (1 * x + x * x)) = 16
(1 + 1x + (1x + x2)) = 16

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) = 16

Solving
1 + 2x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
1 + -16 + 2x + x2 = 16 + -16

Combine like terms: 1 + -16 = -15
-15 + 2x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-15 + 2x + x2 = 0

Factor a trinomial.
(-5 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-5, 3}