V(x)=(16-2x)(12-2x)x

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Solution for V(x)=(16-2x)(12-2x)x equation: 


Simplifying
V(x) = (16 + -2x)(12 + -2x) * x

Multiply V * x
xV = (16 + -2x)(12 + -2x) * x

Reorder the terms for easier multiplication:
xV = x(16 + -2x)(12 + -2x)

Multiply (16 + -2x) * (12 + -2x)
xV = x(16(12 + -2x) + -2x * (12 + -2x))
xV = x((12 * 16 + -2x * 16) + -2x * (12 + -2x))
xV = x((192 + -32x) + -2x * (12 + -2x))
xV = x(192 + -32x + (12 * -2x + -2x * -2x))
xV = x(192 + -32x + (-24x + 4x2))

Combine like terms: -32x + -24x = -56x
xV = x(192 + -56x + 4x2)
xV = (192 * x + -56x * x + 4x2 * x)
xV = (192x + -56x2 + 4x3)

Solving
xV = 192x + -56x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-192x + xV + 56x2 + -4x3 = 192x + -56x2 + 4x3 + -192x + 56x2 + -4x3

Reorder the terms:
-192x + xV + 56x2 + -4x3 = 192x + -192x + -56x2 + 56x2 + 4x3 + -4x3

Combine like terms: 192x + -192x = 0
-192x + xV + 56x2 + -4x3 = 0 + -56x2 + 56x2 + 4x3 + -4x3
-192x + xV + 56x2 + -4x3 = -56x2 + 56x2 + 4x3 + -4x3

Combine like terms: -56x2 + 56x2 = 0
-192x + xV + 56x2 + -4x3 = 0 + 4x3 + -4x3
-192x + xV + 56x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-192x + xV + 56x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-192 + V + 56x + -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 '(-192 + V + 56x + -4x2)' equal to zero and attempt to solve:

Simplifying
-192 + V + 56x + -4x2 = 0

Solving
-192 + V + 56x + -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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