(30-2x)*(20-2x)*x=

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Solution for (30-2x)*(20-2x)*x= equation: 


Simplifying
(30 + -2x)(20 + -2x) * x = 0

Reorder the terms for easier multiplication:
x(30 + -2x)(20 + -2x) = 0

Multiply (30 + -2x) * (20 + -2x)
x(30(20 + -2x) + -2x * (20 + -2x)) = 0
x((20 * 30 + -2x * 30) + -2x * (20 + -2x)) = 0
x((600 + -60x) + -2x * (20 + -2x)) = 0
x(600 + -60x + (20 * -2x + -2x * -2x)) = 0
x(600 + -60x + (-40x + 4x2)) = 0

Combine like terms: -60x + -40x = -100x
x(600 + -100x + 4x2) = 0
(600 * x + -100x * x + 4x2 * x) = 0
(600x + -100x2 + 4x3) = 0

Solving
600x + -100x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(150 + -25x + x2) = 0

Factor a trinomial.
4x((10 + -1x)(15 + -1x)) = 0

Ignore the factor 4.

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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {0, 10, 15}

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