x(20-2x)(17-2x)=0

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Solution for x(20-2x)(17-2x)=0 equation: 


Simplifying
x(20 + -2x)(17 + -2x) = 0

Multiply (20 + -2x) * (17 + -2x)
x(20(17 + -2x) + -2x * (17 + -2x)) = 0
x((17 * 20 + -2x * 20) + -2x * (17 + -2x)) = 0
x((340 + -40x) + -2x * (17 + -2x)) = 0
x(340 + -40x + (17 * -2x + -2x * -2x)) = 0
x(340 + -40x + (-34x + 4x2)) = 0

Combine like terms: -40x + -34x = -74x
x(340 + -74x + 4x2) = 0
(340 * x + -74x * x + 4x2 * x) = 0
(340x + -74x2 + 4x3) = 0

Solving
340x + -74x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(170 + -37x + 2x2) = 0

Factor a trinomial.
2x((17 + -2x)(10 + -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 '(17 + -2x)' equal to zero and attempt to solve:

Simplifying
17 + -2x = 0

Solving
17 + -2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 0 + -17
-2x = 0 + -17

Combine like terms: 0 + -17 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

Subproblem 3
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
Solution
x = {0, 8.5, 10}

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