2x(30-2x)(40-2x)=

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Solution for 2x(30-2x)(40-2x)= equation:


Simplifying
2x(30 + -2x)(40 + -2x) = 0

Multiply (30 + -2x) * (40 + -2x)
2x(30(40 + -2x) + -2x * (40 + -2x)) = 0
2x((40 * 30 + -2x * 30) + -2x * (40 + -2x)) = 0
2x((1200 + -60x) + -2x * (40 + -2x)) = 0
2x(1200 + -60x + (40 * -2x + -2x * -2x)) = 0
2x(1200 + -60x + (-80x + 4x2)) = 0

Combine like terms: -60x + -80x = -140x
2x(1200 + -140x + 4x2) = 0
(1200 * 2x + -140x * 2x + 4x2 * 2x) = 0
(2400x + -280x2 + 8x3) = 0

Solving
2400x + -280x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(300 + -35x + x2) = 0

Factor a trinomial.
8x((15 + -1x)(20 + -1x)) = 0

Ignore the factor 8.

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 '(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

Subproblem 3
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {0, 15, 20}

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