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

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


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

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

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

Solving
432x + -84x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(108 + -21x + x2) = 0

Factor a trinomial.
4x((9 + -1x)(12 + -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 '(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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