V(x)=x(11-2x)(8.5-2x)

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Solution for V(x)=x(11-2x)(8.5-2x) equation: 


Simplifying
V(x) = x(11 + -2x)(8.5 + -2x)

Multiply V * x
xV = x(11 + -2x)(8.5 + -2x)

Multiply (11 + -2x) * (8.5 + -2x)
xV = x(11(8.5 + -2x) + -2x * (8.5 + -2x))
xV = x((8.5 * 11 + -2x * 11) + -2x * (8.5 + -2x))
xV = x((93.5 + -22x) + -2x * (8.5 + -2x))
xV = x(93.5 + -22x + (8.5 * -2x + -2x * -2x))
xV = x(93.5 + -22x + (-17x + 4x2))

Combine like terms: -22x + -17x = -39x
xV = x(93.5 + -39x + 4x2)
xV = (93.5 * x + -39x * x + 4x2 * x)
xV = (93.5x + -39x2 + 4x3)

Solving
xV = 93.5x + -39x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-93.5x + xV + 39x2 + -4x3 = 93.5x + -39x2 + 4x3 + -93.5x + 39x2 + -4x3

Reorder the terms:
-93.5x + xV + 39x2 + -4x3 = 93.5x + -93.5x + -39x2 + 39x2 + 4x3 + -4x3

Combine like terms: 93.5x + -93.5x = 0.0
-93.5x + xV + 39x2 + -4x3 = 0.0 + -39x2 + 39x2 + 4x3 + -4x3
-93.5x + xV + 39x2 + -4x3 = -39x2 + 39x2 + 4x3 + -4x3

Combine like terms: -39x2 + 39x2 = 0
-93.5x + xV + 39x2 + -4x3 = 0 + 4x3 + -4x3
-93.5x + xV + 39x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-93.5x + xV + 39x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-93.5 + V + 39x + -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 '(-93.5 + V + 39x + -4x2)' equal to zero and attempt to solve:

Simplifying
-93.5 + V + 39x + -4x2 = 0

Solving
-93.5 + V + 39x + -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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