V(x)=x(80-2x)(50-2x)

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Solution for V(x)=x(80-2x)(50-2x) equation: 


Simplifying
V(x) = x(80 + -2x)(50 + -2x)

Multiply V * x
xV = x(80 + -2x)(50 + -2x)

Multiply (80 + -2x) * (50 + -2x)
xV = x(80(50 + -2x) + -2x * (50 + -2x))
xV = x((50 * 80 + -2x * 80) + -2x * (50 + -2x))
xV = x((4000 + -160x) + -2x * (50 + -2x))
xV = x(4000 + -160x + (50 * -2x + -2x * -2x))
xV = x(4000 + -160x + (-100x + 4x2))

Combine like terms: -160x + -100x = -260x
xV = x(4000 + -260x + 4x2)
xV = (4000 * x + -260x * x + 4x2 * x)
xV = (4000x + -260x2 + 4x3)

Solving
xV = 4000x + -260x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-4000x + xV + 260x2 + -4x3 = 4000x + -260x2 + 4x3 + -4000x + 260x2 + -4x3

Reorder the terms:
-4000x + xV + 260x2 + -4x3 = 4000x + -4000x + -260x2 + 260x2 + 4x3 + -4x3

Combine like terms: 4000x + -4000x = 0
-4000x + xV + 260x2 + -4x3 = 0 + -260x2 + 260x2 + 4x3 + -4x3
-4000x + xV + 260x2 + -4x3 = -260x2 + 260x2 + 4x3 + -4x3

Combine like terms: -260x2 + 260x2 = 0
-4000x + xV + 260x2 + -4x3 = 0 + 4x3 + -4x3
-4000x + xV + 260x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-4000x + xV + 260x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4000 + V + 260x + -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 '(-4000 + V + 260x + -4x2)' equal to zero and attempt to solve:

Simplifying
-4000 + V + 260x + -4x2 = 0

Solving
-4000 + V + 260x + -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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