(X)(x+2)(x-(2+1))(x-(2-1))=0

Solution for (X)(x+2)(x-(2+1))(x-(2-1))=0 equation:

Simplifying
(X)(x + 2)(x + -1(2 + 1))(x + -1(2 + -1)) = 0

Reorder the terms:
X(2 + x)(x + -1(2 + 1))(x + -1(2 + -1)) = 0

Combine like terms: 2 + 1 = 3
X(2 + x)(x + -1(3))(x + -1(2 + -1)) = 0

Multiply -1 * 3
X(2 + x)(x + -3)(x + -1(2 + -1)) = 0

Reorder the terms:
X(2 + x)(-3 + x)(x + -1(2 + -1)) = 0

Combine like terms: 2 + -1 = 1
X(2 + x)(-3 + x)(x + -1(1)) = 0

Multiply -1 * 1
X(2 + x)(-3 + x)(x + -1) = 0

Reorder the terms:
X(2 + x)(-3 + x)(-1 + x) = 0

Multiply (2 + x) * (-3 + x)
X(2(-3 + x) + x(-3 + x))(-1 + x) = 0
X((-3 * 2 + x * 2) + x(-3 + x))(-1 + x) = 0
X((-6 + 2x) + x(-3 + x))(-1 + x) = 0
X(-6 + 2x + (-3 * x + x * x))(-1 + x) = 0
X(-6 + 2x + (-3x + x2))(-1 + x) = 0

Combine like terms: 2x + -3x = -1x
X(-6 + -1x + x2)(-1 + x) = 0

Multiply (-6 + -1x + x2) * (-1 + x)
X(-6(-1 + x) + -1x * (-1 + x) + x2(-1 + x)) = 0
X((-1 * -6 + x * -6) + -1x * (-1 + x) + x2(-1 + x)) = 0
X((6 + -6x) + -1x * (-1 + x) + x2(-1 + x)) = 0
X(6 + -6x + (-1 * -1x + x * -1x) + x2(-1 + x)) = 0
X(6 + -6x + (1x + -1x2) + x2(-1 + x)) = 0
X(6 + -6x + 1x + -1x2 + (-1 * x2 + x * x2)) = 0
X(6 + -6x + 1x + -1x2 + (-1x2 + x3)) = 0

Combine like terms: -6x + 1x = -5x
X(6 + -5x + -1x2 + -1x2 + x3) = 0

Combine like terms: -1x2 + -1x2 = -2x2
X(6 + -5x + -2x2 + x3) = 0
(6 * X + -5x * X + -2x2 * X + x3 * X) = 0
(6X + -5xX + -2x2X + x3X) = 0

Solving
6X + -5xX + -2x2X + x3X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(6 + -5x + -2x2 + x3) = 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 '(6 + -5x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
6 + -5x + -2x2 + x3 = 0

Solving
6 + -5x + -2x2 + x3 = 0

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

Add '-6' to each side of the equation.
6 + -5x + -2x2 + -6 + x3 = 0 + -6

Reorder the terms:
6 + -6 + -5x + -2x2 + x3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x + -2x2 + x3 = 0 + -6
-5x + -2x2 + x3 = 0 + -6

Combine like terms: 0 + -6 = -6
-5x + -2x2 + x3 = -6

Add '5x' to each side of the equation.
-5x + -2x2 + 5x + x3 = -6 + 5x

Reorder the terms:
-5x + 5x + -2x2 + x3 = -6 + 5x

Combine like terms: -5x + 5x = 0
0 + -2x2 + x3 = -6 + 5x
-2x2 + x3 = -6 + 5x

Add '2x2' to each side of the equation.
-2x2 + 2x2 + x3 = -6 + 5x + 2x2

Combine like terms: -2x2 + 2x2 = 0
0 + x3 = -6 + 5x + 2x2
x3 = -6 + 5x + 2x2

Add '-1x3' to each side of the equation.
x3 + -1x3 = -6 + 5x + 2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = -6 + 5x + 2x2 + -1x3

Simplifying
0 = -6 + 5x + 2x2 + -1x3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}