x(37-2x)(20-2x)=0

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Solution for x(37-2x)(20-2x)=0 equation: 


Simplifying
x(37 + -2x)(20 + -2x) = 0

Multiply (37 + -2x) * (20 + -2x)
x(37(20 + -2x) + -2x * (20 + -2x)) = 0
x((20 * 37 + -2x * 37) + -2x * (20 + -2x)) = 0
x((740 + -74x) + -2x * (20 + -2x)) = 0
x(740 + -74x + (20 * -2x + -2x * -2x)) = 0
x(740 + -74x + (-40x + 4x2)) = 0

Combine like terms: -74x + -40x = -114x
x(740 + -114x + 4x2) = 0
(740 * x + -114x * x + 4x2 * x) = 0
(740x + -114x2 + 4x3) = 0

Solving
740x + -114x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(370 + -57x + 2x2) = 0

Factor a trinomial.
2x((10 + -1x)(37 + -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 '(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 '(37 + -2x)' equal to zero and attempt to solve:

Simplifying
37 + -2x = 0

Solving
37 + -2x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -2x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -2x = 0 + -37
-2x = 0 + -37

Combine like terms: 0 + -37 = -37
-2x = -37

Divide each side by '-2'.
x = 18.5

Simplifying
x = 18.5
Solution
x = {0, 10, 18.5}

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