x(23-2x)(13-2x)=0

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Solution for x(23-2x)(13-2x)=0 equation: 


Simplifying
x(23 + -2x)(13 + -2x) = 0

Multiply (23 + -2x) * (13 + -2x)
x(23(13 + -2x) + -2x * (13 + -2x)) = 0
x((13 * 23 + -2x * 23) + -2x * (13 + -2x)) = 0
x((299 + -46x) + -2x * (13 + -2x)) = 0
x(299 + -46x + (13 * -2x + -2x * -2x)) = 0
x(299 + -46x + (-26x + 4x2)) = 0

Combine like terms: -46x + -26x = -72x
x(299 + -72x + 4x2) = 0
(299 * x + -72x * x + 4x2 * x) = 0
(299x + -72x2 + 4x3) = 0

Solving
299x + -72x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(299 + -72x + 4x2) = 0

Factor a trinomial.
x((13 + -2x)(23 + -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 '(13 + -2x)' equal to zero and attempt to solve:

Simplifying
13 + -2x = 0

Solving
13 + -2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 0 + -13
-2x = 0 + -13

Combine like terms: 0 + -13 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

Subproblem 3
Set the factor '(23 + -2x)' equal to zero and attempt to solve:

Simplifying
23 + -2x = 0

Solving
23 + -2x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -2x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -2x = 0 + -23
-2x = 0 + -23

Combine like terms: 0 + -23 = -23
-2x = -23

Divide each side by '-2'.
x = 11.5

Simplifying
x = 11.5
Solution
x = {0, 6.5, 11.5}

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