(17-2x)(12-2x)(x)=0

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Solution for (17-2x)(12-2x)(x)=0 equation: 


Simplifying
(17 + -2x)(12 + -2x)(x) = 0

Reorder the terms for easier multiplication:
x(17 + -2x)(12 + -2x) = 0

Multiply (17 + -2x) * (12 + -2x)
x(17(12 + -2x) + -2x * (12 + -2x)) = 0
x((12 * 17 + -2x * 17) + -2x * (12 + -2x)) = 0
x((204 + -34x) + -2x * (12 + -2x)) = 0
x(204 + -34x + (12 * -2x + -2x * -2x)) = 0
x(204 + -34x + (-24x + 4x2)) = 0

Combine like terms: -34x + -24x = -58x
x(204 + -58x + 4x2) = 0
(204 * x + -58x * x + 4x2 * x) = 0
(204x + -58x2 + 4x3) = 0

Solving
204x + -58x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(102 + -29x + 2x2) = 0

Factor a trinomial.
2x((6 + -1x)(17 + -2x)) = 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 '(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 '(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
Solution
x = {0, 6, 8.5}

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