V(x)=x(20-2x)(20-2x)

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Solution for V(x)=x(20-2x)(20-2x) equation: 


Simplifying
V(x) = x(20 + -2x)(20 + -2x)

Multiply V * x
xV = x(20 + -2x)(20 + -2x)

Multiply (20 + -2x) * (20 + -2x)
xV = x(20(20 + -2x) + -2x * (20 + -2x))
xV = x((20 * 20 + -2x * 20) + -2x * (20 + -2x))
xV = x((400 + -40x) + -2x * (20 + -2x))
xV = x(400 + -40x + (20 * -2x + -2x * -2x))
xV = x(400 + -40x + (-40x + 4x2))

Combine like terms: -40x + -40x = -80x
xV = x(400 + -80x + 4x2)
xV = (400 * x + -80x * x + 4x2 * x)
xV = (400x + -80x2 + 4x3)

Solving
xV = 400x + -80x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-400x + xV + 80x2 + -4x3 = 400x + -80x2 + 4x3 + -400x + 80x2 + -4x3

Reorder the terms:
-400x + xV + 80x2 + -4x3 = 400x + -400x + -80x2 + 80x2 + 4x3 + -4x3

Combine like terms: 400x + -400x = 0
-400x + xV + 80x2 + -4x3 = 0 + -80x2 + 80x2 + 4x3 + -4x3
-400x + xV + 80x2 + -4x3 = -80x2 + 80x2 + 4x3 + -4x3

Combine like terms: -80x2 + 80x2 = 0
-400x + xV + 80x2 + -4x3 = 0 + 4x3 + -4x3
-400x + xV + 80x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-400x + xV + 80x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-400 + V + 80x + -4x2) = 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 '(-400 + V + 80x + -4x2)' equal to zero and attempt to solve:

Simplifying
-400 + V + 80x + -4x2 = 0

Solving
-400 + V + 80x + -4x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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