(18-2x)(24-2x)(2x)=0

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Solution for (18-2x)(24-2x)(2x)=0 equation: 


Simplifying
(18 + -2x)(24 + -2x)(2x) = 0

Remove parenthesis around (2x)
(18 + -2x)(24 + -2x) * 2x = 0

Reorder the terms for easier multiplication:
2x(18 + -2x)(24 + -2x) = 0

Multiply (18 + -2x) * (24 + -2x)
2x(18(24 + -2x) + -2x * (24 + -2x)) = 0
2x((24 * 18 + -2x * 18) + -2x * (24 + -2x)) = 0
2x((432 + -36x) + -2x * (24 + -2x)) = 0
2x(432 + -36x + (24 * -2x + -2x * -2x)) = 0
2x(432 + -36x + (-48x + 4x2)) = 0

Combine like terms: -36x + -48x = -84x
2x(432 + -84x + 4x2) = 0
(432 * 2x + -84x * 2x + 4x2 * 2x) = 0
(864x + -168x2 + 8x3) = 0

Solving
864x + -168x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(108 + -21x + x2) = 0

Factor a trinomial.
8x((9 + -1x)(12 + -1x)) = 0

Ignore the factor 8.

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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 3
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {0, 9, 12}

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