x(27-2x)(11-2x)=0

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Solution for x(27-2x)(11-2x)=0 equation: 


Simplifying
x(27 + -2x)(11 + -2x) = 0

Multiply (27 + -2x) * (11 + -2x)
x(27(11 + -2x) + -2x * (11 + -2x)) = 0
x((11 * 27 + -2x * 27) + -2x * (11 + -2x)) = 0
x((297 + -54x) + -2x * (11 + -2x)) = 0
x(297 + -54x + (11 * -2x + -2x * -2x)) = 0
x(297 + -54x + (-22x + 4x2)) = 0

Combine like terms: -54x + -22x = -76x
x(297 + -76x + 4x2) = 0
(297 * x + -76x * x + 4x2 * x) = 0
(297x + -76x2 + 4x3) = 0

Solving
297x + -76x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(297 + -76x + 4x2) = 0

Factor a trinomial.
x((11 + -2x)(27 + -2x)) = 0


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 '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

Subproblem 3
Set the factor '(27 + -2x)' equal to zero and attempt to solve:

Simplifying
27 + -2x = 0

Solving
27 + -2x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -2x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = 0 + -27
-2x = 0 + -27

Combine like terms: 0 + -27 = -27
-2x = -27

Divide each side by '-2'.
x = 13.5

Simplifying
x = 13.5
Solution
x = {0, 5.5, 13.5}

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