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

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


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

Multiply (23 + -2x) * (13 + -2x)
0 = 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))

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

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

Solving for variable 'x'.
Remove the zero:
-299x + 72x2 + -4x3 = 299x + -72x2 + 4x3 + -299x + 72x2 + -4x3

Reorder the terms:
-299x + 72x2 + -4x3 = 299x + -299x + -72x2 + 72x2 + 4x3 + -4x3

Combine like terms: 299x + -299x = 0
-299x + 72x2 + -4x3 = 0 + -72x2 + 72x2 + 4x3 + -4x3
-299x + 72x2 + -4x3 = -72x2 + 72x2 + 4x3 + -4x3

Combine like terms: -72x2 + 72x2 = 0
-299x + 72x2 + -4x3 = 0 + 4x3 + -4x3
-299x + 72x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-299x + 72x2 + -4x3 = 0

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

Factor a trinomial.
x((-23 + 2x)(13 + -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 '(-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

Subproblem 3
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
Solution
x = {0, 11.5, 6.5}

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