x(16-2x)(12-2x)=0

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Solution for x(16-2x)(12-2x)=0 equation: 


Simplifying
x(16 + -2x)(12 + -2x) = 0

Multiply (16 + -2x) * (12 + -2x)
x(16(12 + -2x) + -2x * (12 + -2x)) = 0
x((12 * 16 + -2x * 16) + -2x * (12 + -2x)) = 0
x((192 + -32x) + -2x * (12 + -2x)) = 0
x(192 + -32x + (12 * -2x + -2x * -2x)) = 0
x(192 + -32x + (-24x + 4x2)) = 0

Combine like terms: -32x + -24x = -56x
x(192 + -56x + 4x2) = 0
(192 * x + -56x * x + 4x2 * x) = 0
(192x + -56x2 + 4x3) = 0

Solving
192x + -56x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(48 + -14x + x2) = 0

Factor a trinomial.
4x((6 + -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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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, 6, 8}

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