(16-2x)(10-2x)x=0

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Solution for (16-2x)(10-2x)x=0 equation: 


Simplifying
(16 + -2x)(10 + -2x) * x = 0

Reorder the terms for easier multiplication:
x(16 + -2x)(10 + -2x) = 0

Multiply (16 + -2x) * (10 + -2x)
x(16(10 + -2x) + -2x * (10 + -2x)) = 0
x((10 * 16 + -2x * 16) + -2x * (10 + -2x)) = 0
x((160 + -32x) + -2x * (10 + -2x)) = 0
x(160 + -32x + (10 * -2x + -2x * -2x)) = 0
x(160 + -32x + (-20x + 4x2)) = 0

Combine like terms: -32x + -20x = -52x
x(160 + -52x + 4x2) = 0
(160 * x + -52x * x + 4x2 * x) = 0
(160x + -52x2 + 4x3) = 0

Solving
160x + -52x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(40 + -13x + x2) = 0

Factor a trinomial.
4x((5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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, 5, 8}

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