(4-2x)(8-2x)(x)=0

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Solution for (4-2x)(8-2x)(x)=0 equation: 


Simplifying
(4 + -2x)(8 + -2x)(x) = 0

Reorder the terms for easier multiplication:
x(4 + -2x)(8 + -2x) = 0

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

Combine like terms: -8x + -16x = -24x
x(32 + -24x + 4x2) = 0
(32 * x + -24x * x + 4x2 * x) = 0
(32x + -24x2 + 4x3) = 0

Solving
32x + -24x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(8 + -6x + x2) = 0

Factor a trinomial.
4x((2 + -1x)(4 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 3
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
Solution
x = {0, 2, 4}

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