x(18-2x)(33-2x)=0

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Solution for x(18-2x)(33-2x)=0 equation: 


Simplifying
x(18 + -2x)(33 + -2x) = 0

Multiply (18 + -2x) * (33 + -2x)
x(18(33 + -2x) + -2x * (33 + -2x)) = 0
x((33 * 18 + -2x * 18) + -2x * (33 + -2x)) = 0
x((594 + -36x) + -2x * (33 + -2x)) = 0
x(594 + -36x + (33 * -2x + -2x * -2x)) = 0
x(594 + -36x + (-66x + 4x2)) = 0

Combine like terms: -36x + -66x = -102x
x(594 + -102x + 4x2) = 0
(594 * x + -102x * x + 4x2 * x) = 0
(594x + -102x2 + 4x3) = 0

Solving
594x + -102x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(297 + -51x + 2x2) = 0

Factor a trinomial.
2x((9 + -1x)(33 + -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 '(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 '(33 + -2x)' equal to zero and attempt to solve:

Simplifying
33 + -2x = 0

Solving
33 + -2x = 0

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

Add '-33' to each side of the equation.
33 + -33 + -2x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -2x = 0 + -33
-2x = 0 + -33

Combine like terms: 0 + -33 = -33
-2x = -33

Divide each side by '-2'.
x = 16.5

Simplifying
x = 16.5
Solution
x = {0, 9, 16.5}

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