x(38-2x)(48-2x)=0

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Solution for x(38-2x)(48-2x)=0 equation: 


Simplifying
x(38 + -2x)(48 + -2x) = 0

Multiply (38 + -2x) * (48 + -2x)
x(38(48 + -2x) + -2x * (48 + -2x)) = 0
x((48 * 38 + -2x * 38) + -2x * (48 + -2x)) = 0
x((1824 + -76x) + -2x * (48 + -2x)) = 0
x(1824 + -76x + (48 * -2x + -2x * -2x)) = 0
x(1824 + -76x + (-96x + 4x2)) = 0

Combine like terms: -76x + -96x = -172x
x(1824 + -172x + 4x2) = 0
(1824 * x + -172x * x + 4x2 * x) = 0
(1824x + -172x2 + 4x3) = 0

Solving
1824x + -172x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(456 + -43x + x2) = 0

Factor a trinomial.
4x((19 + -1x)(24 + -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 '(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

Subproblem 3
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {0, 19, 24}

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