x(6-2x)(16-2x)=0

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Solution for x(6-2x)(16-2x)=0 equation: 


Simplifying
x(6 + -2x)(16 + -2x) = 0

Multiply (6 + -2x) * (16 + -2x)
x(6(16 + -2x) + -2x * (16 + -2x)) = 0
x((16 * 6 + -2x * 6) + -2x * (16 + -2x)) = 0
x((96 + -12x) + -2x * (16 + -2x)) = 0
x(96 + -12x + (16 * -2x + -2x * -2x)) = 0
x(96 + -12x + (-32x + 4x2)) = 0

Combine like terms: -12x + -32x = -44x
x(96 + -44x + 4x2) = 0
(96 * x + -44x * x + 4x2 * x) = 0
(96x + -44x2 + 4x3) = 0

Solving
96x + -44x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(24 + -11x + x2) = 0

Factor a trinomial.
4x((3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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, 3, 8}

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