0=2x(x+3)(3+1)

Solution for 0=2x(x+3)(3+1) equation:

Simplifying
0 = 2x(x + 3)(3 + 1)

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

Combine like terms: 3 + 1 = 4
0 = 2x(3 + x)(4)

Reorder the terms for easier multiplication:
0 = 2 * 4x(3 + x)

Multiply 2 * 4
0 = 8x(3 + x)
0 = (3 * 8x + x * 8x)
0 = (24x + 8x2)

Solving
0 = 24x + 8x2

Solving for variable 'x'.
Remove the zero:
-24x + -8x2 = 24x + 8x2 + -24x + -8x2

Reorder the terms:
-24x + -8x2 = 24x + -24x + 8x2 + -8x2

Combine like terms: 24x + -24x = 0
-24x + -8x2 = 0 + 8x2 + -8x2
-24x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-24x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-8x'.
-8x(3 + x) = 0

Ignore the factor -8.
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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {0, -3}