(16-2x)(8-2x)(x)=0

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Solution for (16-2x)(8-2x)(x)=0 equation: 


Simplifying
(16 + -2x)(8 + -2x)(x) = 0

Reorder the terms for easier multiplication:
x(16 + -2x)(8 + -2x) = 0

Multiply (16 + -2x) * (8 + -2x)
x(16(8 + -2x) + -2x * (8 + -2x)) = 0
x((8 * 16 + -2x * 16) + -2x * (8 + -2x)) = 0
x((128 + -32x) + -2x * (8 + -2x)) = 0
x(128 + -32x + (8 * -2x + -2x * -2x)) = 0
x(128 + -32x + (-16x + 4x2)) = 0

Combine like terms: -32x + -16x = -48x
x(128 + -48x + 4x2) = 0
(128 * x + -48x * x + 4x2 * x) = 0
(128x + -48x2 + 4x3) = 0

Solving
128x + -48x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(32 + -12x + x2) = 0

Factor a trinomial.
4x((4 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

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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