x(x+4)(x+8)=0

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Solution for x(x+4)(x+8)=0 equation: 


Simplifying
x(x + 4)(x + 8) = 0

Reorder the terms:
x(4 + x)(x + 8) = 0

Reorder the terms:
x(4 + x)(8 + x) = 0

Multiply (4 + x) * (8 + x)
x(4(8 + x) + x(8 + x)) = 0
x((8 * 4 + x * 4) + x(8 + x)) = 0
x((32 + 4x) + x(8 + x)) = 0
x(32 + 4x + (8 * x + x * x)) = 0
x(32 + 4x + (8x + x2)) = 0

Combine like terms: 4x + 8x = 12x
x(32 + 12x + x2) = 0
(32 * x + 12x * x + x2 * x) = 0
(32x + 12x2 + x3) = 0

Solving
32x + 12x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(32 + 12x + x2) = 0

Factor a trinomial.
x((8 + x)(4 + 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 '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

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

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

Simplifying
x = -8

Subproblem 3
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -8, -4}

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