V(x)=x(16-x)(18-4x)

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Solution for V(x)=x(16-x)(18-4x) equation: 


Simplifying
V(x) = x(16 + -1x)(18 + -4x)

Multiply V * x
xV = x(16 + -1x)(18 + -4x)

Multiply (16 + -1x) * (18 + -4x)
xV = x(16(18 + -4x) + -1x * (18 + -4x))
xV = x((18 * 16 + -4x * 16) + -1x * (18 + -4x))
xV = x((288 + -64x) + -1x * (18 + -4x))
xV = x(288 + -64x + (18 * -1x + -4x * -1x))
xV = x(288 + -64x + (-18x + 4x2))

Combine like terms: -64x + -18x = -82x
xV = x(288 + -82x + 4x2)
xV = (288 * x + -82x * x + 4x2 * x)
xV = (288x + -82x2 + 4x3)

Solving
xV = 288x + -82x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-288x + xV + 82x2 + -4x3 = 288x + -82x2 + 4x3 + -288x + 82x2 + -4x3

Reorder the terms:
-288x + xV + 82x2 + -4x3 = 288x + -288x + -82x2 + 82x2 + 4x3 + -4x3

Combine like terms: 288x + -288x = 0
-288x + xV + 82x2 + -4x3 = 0 + -82x2 + 82x2 + 4x3 + -4x3
-288x + xV + 82x2 + -4x3 = -82x2 + 82x2 + 4x3 + -4x3

Combine like terms: -82x2 + 82x2 = 0
-288x + xV + 82x2 + -4x3 = 0 + 4x3 + -4x3
-288x + xV + 82x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-288x + xV + 82x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-288 + V + 82x + -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 '(-288 + V + 82x + -4x2)' equal to zero and attempt to solve:

Simplifying
-288 + V + 82x + -4x2 = 0

Solving
-288 + V + 82x + -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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