x(30-2x)(38-2x)=0

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Solution for x(30-2x)(38-2x)=0 equation: 


Simplifying
x(30 + -2x)(38 + -2x) = 0

Multiply (30 + -2x) * (38 + -2x)
x(30(38 + -2x) + -2x * (38 + -2x)) = 0
x((38 * 30 + -2x * 30) + -2x * (38 + -2x)) = 0
x((1140 + -60x) + -2x * (38 + -2x)) = 0
x(1140 + -60x + (38 * -2x + -2x * -2x)) = 0
x(1140 + -60x + (-76x + 4x2)) = 0

Combine like terms: -60x + -76x = -136x
x(1140 + -136x + 4x2) = 0
(1140 * x + -136x * x + 4x2 * x) = 0
(1140x + -136x2 + 4x3) = 0

Solving
1140x + -136x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(285 + -34x + x2) = 0

Factor a trinomial.
4x((15 + -1x)(19 + -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 '(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 '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {0, 15, 19}

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