x(22-2x)(41-2x)=0

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Solution for x(22-2x)(41-2x)=0 equation: 


Simplifying
x(22 + -2x)(41 + -2x) = 0

Multiply (22 + -2x) * (41 + -2x)
x(22(41 + -2x) + -2x * (41 + -2x)) = 0
x((41 * 22 + -2x * 22) + -2x * (41 + -2x)) = 0
x((902 + -44x) + -2x * (41 + -2x)) = 0
x(902 + -44x + (41 * -2x + -2x * -2x)) = 0
x(902 + -44x + (-82x + 4x2)) = 0

Combine like terms: -44x + -82x = -126x
x(902 + -126x + 4x2) = 0
(902 * x + -126x * x + 4x2 * x) = 0
(902x + -126x2 + 4x3) = 0

Solving
902x + -126x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(451 + -63x + 2x2) = 0

Factor a trinomial.
2x((11 + -1x)(41 + -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 '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

Subproblem 3
Set the factor '(41 + -2x)' equal to zero and attempt to solve:

Simplifying
41 + -2x = 0

Solving
41 + -2x = 0

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

Add '-41' to each side of the equation.
41 + -41 + -2x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -2x = 0 + -41
-2x = 0 + -41

Combine like terms: 0 + -41 = -41
-2x = -41

Divide each side by '-2'.
x = 20.5

Simplifying
x = 20.5
Solution
x = {0, 11, 20.5}

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