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 = -4x
x(-32 + -4x + x2) = 0
(-32 * x + -4x * x + x2 * x) = 0
(-32x + -4x2 + x3) = 0

Solving
-32x + -4x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + -4x + x2) = 0

Factor a trinomial.
x((-4 + -1x)(8 + -1x)) = 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 '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 3
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

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

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