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

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

Simplifying
0 = (x2 + 1 + -1)(x + 1)

Reorder the terms:
0 = (1 + -1 + x2)(x + 1)

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

Reorder the terms:
0 = x2(1 + x)
0 = (1 * x2 + x * x2)
0 = (1x2 + x3)

Solving
0 = 1x2 + x3

Solving for variable 'x'.
Remove the zero:
-1x2 + -1x3 = 1x2 + x3 + -1x2 + -1x3

Reorder the terms:
-1x2 + -1x3 = 1x2 + -1x2 + x3 + -1x3

Combine like terms: 1x2 + -1x2 = 0
-1x2 + -1x3 = 0 + x3 + -1x3
-1x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(1 + x) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {0, -1}