(19-2x)(11-2x)(x)=0

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Solution for (19-2x)(11-2x)(x)=0 equation: 


Simplifying
(19 + -2x)(11 + -2x)(x) = 0

Reorder the terms for easier multiplication:
x(19 + -2x)(11 + -2x) = 0

Multiply (19 + -2x) * (11 + -2x)
x(19(11 + -2x) + -2x * (11 + -2x)) = 0
x((11 * 19 + -2x * 19) + -2x * (11 + -2x)) = 0
x((209 + -38x) + -2x * (11 + -2x)) = 0
x(209 + -38x + (11 * -2x + -2x * -2x)) = 0
x(209 + -38x + (-22x + 4x2)) = 0

Combine like terms: -38x + -22x = -60x
x(209 + -60x + 4x2) = 0
(209 * x + -60x * x + 4x2 * x) = 0
(209x + -60x2 + 4x3) = 0

Solving
209x + -60x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(209 + -60x + 4x2) = 0

Factor a trinomial.
x((11 + -2x)(19 + -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 '(19 + -2x)' equal to zero and attempt to solve:

Simplifying
19 + -2x = 0

Solving
19 + -2x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 0 + -19
-2x = 0 + -19

Combine like terms: 0 + -19 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5
Solution
x = {0, 5.5, 9.5}

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