(x+1)(x-1)=(x+1)2

Solution for (x+1)(x-1)=(x+1)2 equation:

Simplifying
(x + 1)(x + -1) = (x + 1) * 2

Reorder the terms:
(1 + x)(x + -1) = (x + 1) * 2

Reorder the terms:
(1 + x)(-1 + x) = (x + 1) * 2

Multiply (1 + x) * (-1 + x)
(1(-1 + x) + x(-1 + x)) = (x + 1) * 2
((-1 * 1 + x * 1) + x(-1 + x)) = (x + 1) * 2
((-1 + 1x) + x(-1 + x)) = (x + 1) * 2
(-1 + 1x + (-1 * x + x * x)) = (x + 1) * 2
(-1 + 1x + (-1x + x2)) = (x + 1) * 2

Combine like terms: 1x + -1x = 0
(-1 + 0 + x2) = (x + 1) * 2
(-1 + x2) = (x + 1) * 2

Reorder the terms:
-1 + x2 = (1 + x) * 2

Reorder the terms for easier multiplication:
-1 + x2 = 2(1 + x)
-1 + x2 = (1 * 2 + x * 2)
-1 + x2 = (2 + 2x)

Solving
-1 + x2 = 2 + 2x

Solving for variable 'x'.

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

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

Reorder the terms:
-3 + -2x + x2 = 2 + -2 + 2x + -2x

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

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

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

Subproblem 1
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
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 = {-1, 3}