x(20-2x)(16-x)=

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Solution for x(20-2x)(16-x)= equation: 


Simplifying
x(20 + -2x)(16 + -1x) = 0

Multiply (20 + -2x) * (16 + -1x)
x(20(16 + -1x) + -2x * (16 + -1x)) = 0
x((16 * 20 + -1x * 20) + -2x * (16 + -1x)) = 0
x((320 + -20x) + -2x * (16 + -1x)) = 0
x(320 + -20x + (16 * -2x + -1x * -2x)) = 0
x(320 + -20x + (-32x + 2x2)) = 0

Combine like terms: -20x + -32x = -52x
x(320 + -52x + 2x2) = 0
(320 * x + -52x * x + 2x2 * x) = 0
(320x + -52x2 + 2x3) = 0

Solving
320x + -52x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(160 + -26x + x2) = 0

Factor a trinomial.
2x((10 + -1x)(16 + -1x)) = 0

Ignore the factor 2.

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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 3
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {0, 10, 16}

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