x^3+2x^2+x-4=-4

Solution for x^3+2x^2+x-4=-4 equation:

Simplifying
x3 + 2x2 + x + -4 = -4

Reorder the terms:
-4 + x + 2x2 + x3 = -4

Add '4' to each side of the equation.
-4 + x + 2x2 + 4 + x3 = -4 + 4

Reorder the terms:
-4 + 4 + x + 2x2 + x3 = -4 + 4

Combine like terms: -4 + 4 = 0
0 + x + 2x2 + x3 = -4 + 4
x + 2x2 + x3 = -4 + 4

Combine like terms: -4 + 4 = 0
x + 2x2 + x3 = 0

Solving
x + 2x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 2x + x2) = 0

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

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
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
Subproblem 3
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, -1}