V(x)=x(15-2x)(20-2x)

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Solution for V(x)=x(15-2x)(20-2x) equation: 


Simplifying
V(x) = x(15 + -2x)(20 + -2x)

Multiply V * x
xV = x(15 + -2x)(20 + -2x)

Multiply (15 + -2x) * (20 + -2x)
xV = x(15(20 + -2x) + -2x * (20 + -2x))
xV = x((20 * 15 + -2x * 15) + -2x * (20 + -2x))
xV = x((300 + -30x) + -2x * (20 + -2x))
xV = x(300 + -30x + (20 * -2x + -2x * -2x))
xV = x(300 + -30x + (-40x + 4x2))

Combine like terms: -30x + -40x = -70x
xV = x(300 + -70x + 4x2)
xV = (300 * x + -70x * x + 4x2 * x)
xV = (300x + -70x2 + 4x3)

Solving
xV = 300x + -70x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-300x + xV + 70x2 + -4x3 = 300x + -70x2 + 4x3 + -300x + 70x2 + -4x3

Reorder the terms:
-300x + xV + 70x2 + -4x3 = 300x + -300x + -70x2 + 70x2 + 4x3 + -4x3

Combine like terms: 300x + -300x = 0
-300x + xV + 70x2 + -4x3 = 0 + -70x2 + 70x2 + 4x3 + -4x3
-300x + xV + 70x2 + -4x3 = -70x2 + 70x2 + 4x3 + -4x3

Combine like terms: -70x2 + 70x2 = 0
-300x + xV + 70x2 + -4x3 = 0 + 4x3 + -4x3
-300x + xV + 70x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-300x + xV + 70x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-300 + V + 70x + -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 '(-300 + V + 70x + -4x2)' equal to zero and attempt to solve:

Simplifying
-300 + V + 70x + -4x2 = 0

Solving
-300 + V + 70x + -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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