(x+1)(x+1)=4

Solution for (x+1)(x+1)=4 equation:

Simplifying
(x + 1)(x + 1) = 4

Reorder the terms:
(1 + x)(x + 1) = 4

Reorder the terms:
(1 + x)(1 + x) = 4

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) = 4
((1 * 1 + x * 1) + x(1 + x)) = 4
((1 + 1x) + x(1 + x)) = 4
(1 + 1x + (1 * x + x * x)) = 4
(1 + 1x + (1x + x2)) = 4

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) = 4

Solving
1 + 2x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
1 + -4 + 2x + x2 = 4 + -4

Combine like terms: 1 + -4 = -3
-3 + 2x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-3 + 2x + x2 = 0

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-3, 1}