x(21-2x)(39-2x)=0

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Solution for x(21-2x)(39-2x)=0 equation: 


Simplifying
x(21 + -2x)(39 + -2x) = 0

Multiply (21 + -2x) * (39 + -2x)
x(21(39 + -2x) + -2x * (39 + -2x)) = 0
x((39 * 21 + -2x * 21) + -2x * (39 + -2x)) = 0
x((819 + -42x) + -2x * (39 + -2x)) = 0
x(819 + -42x + (39 * -2x + -2x * -2x)) = 0
x(819 + -42x + (-78x + 4x2)) = 0

Combine like terms: -42x + -78x = -120x
x(819 + -120x + 4x2) = 0
(819 * x + -120x * x + 4x2 * x) = 0
(819x + -120x2 + 4x3) = 0

Solving
819x + -120x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(819 + -120x + 4x2) = 0

Factor a trinomial.
x((21 + -2x)(39 + -2x)) = 0


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 '(21 + -2x)' equal to zero and attempt to solve:

Simplifying
21 + -2x = 0

Solving
21 + -2x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -2x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 0 + -21
-2x = 0 + -21

Combine like terms: 0 + -21 = -21
-2x = -21

Divide each side by '-2'.
x = 10.5

Simplifying
x = 10.5

Subproblem 3
Set the factor '(39 + -2x)' equal to zero and attempt to solve:

Simplifying
39 + -2x = 0

Solving
39 + -2x = 0

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

Add '-39' to each side of the equation.
39 + -39 + -2x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -2x = 0 + -39
-2x = 0 + -39

Combine like terms: 0 + -39 = -39
-2x = -39

Divide each side by '-2'.
x = 19.5

Simplifying
x = 19.5
Solution
x = {0, 10.5, 19.5}

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