V(x)=x(30-2x)(30-2x)

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Solution for V(x)=x(30-2x)(30-2x) equation: 


Simplifying
V(x) = x(30 + -2x)(30 + -2x)

Multiply V * x
xV = x(30 + -2x)(30 + -2x)

Multiply (30 + -2x) * (30 + -2x)
xV = x(30(30 + -2x) + -2x * (30 + -2x))
xV = x((30 * 30 + -2x * 30) + -2x * (30 + -2x))
xV = x((900 + -60x) + -2x * (30 + -2x))
xV = x(900 + -60x + (30 * -2x + -2x * -2x))
xV = x(900 + -60x + (-60x + 4x2))

Combine like terms: -60x + -60x = -120x
xV = x(900 + -120x + 4x2)
xV = (900 * x + -120x * x + 4x2 * x)
xV = (900x + -120x2 + 4x3)

Solving
xV = 900x + -120x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-900x + xV + 120x2 + -4x3 = 900x + -120x2 + 4x3 + -900x + 120x2 + -4x3

Reorder the terms:
-900x + xV + 120x2 + -4x3 = 900x + -900x + -120x2 + 120x2 + 4x3 + -4x3

Combine like terms: 900x + -900x = 0
-900x + xV + 120x2 + -4x3 = 0 + -120x2 + 120x2 + 4x3 + -4x3
-900x + xV + 120x2 + -4x3 = -120x2 + 120x2 + 4x3 + -4x3

Combine like terms: -120x2 + 120x2 = 0
-900x + xV + 120x2 + -4x3 = 0 + 4x3 + -4x3
-900x + xV + 120x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-900x + xV + 120x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-900 + V + 120x + -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 '(-900 + V + 120x + -4x2)' equal to zero and attempt to solve:

Simplifying
-900 + V + 120x + -4x2 = 0

Solving
-900 + V + 120x + -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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