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

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


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

Multiply (38 + -2x) * (38 + -2x)
0 = x(38(38 + -2x) + -2x * (38 + -2x))
0 = x((38 * 38 + -2x * 38) + -2x * (38 + -2x))
0 = x((1444 + -76x) + -2x * (38 + -2x))
0 = x(1444 + -76x + (38 * -2x + -2x * -2x))
0 = x(1444 + -76x + (-76x + 4x2))

Combine like terms: -76x + -76x = -152x
0 = x(1444 + -152x + 4x2)
0 = (1444 * x + -152x * x + 4x2 * x)
0 = (1444x + -152x2 + 4x3)

Solving
0 = 1444x + -152x2 + 4x3

Solving for variable 'x'.
Remove the zero:
-1444x + 152x2 + -4x3 = 1444x + -152x2 + 4x3 + -1444x + 152x2 + -4x3

Reorder the terms:
-1444x + 152x2 + -4x3 = 1444x + -1444x + -152x2 + 152x2 + 4x3 + -4x3

Combine like terms: 1444x + -1444x = 0
-1444x + 152x2 + -4x3 = 0 + -152x2 + 152x2 + 4x3 + -4x3
-1444x + 152x2 + -4x3 = -152x2 + 152x2 + 4x3 + -4x3

Combine like terms: -152x2 + 152x2 = 0
-1444x + 152x2 + -4x3 = 0 + 4x3 + -4x3
-1444x + 152x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-1444x + 152x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-361 + 38x + -1x2) = 0

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

Simplifying
-19 + x = 0

Solving
-19 + x = 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 + x = 0 + 19

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

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

Simplifying
x = 19

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, 19, 19}

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