V(x)=(x)(8-2x)(10-2x)

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Solution for V(x)=(x)(8-2x)(10-2x) equation: 


Simplifying
V(x) = (x)(8 + -2x)(10 + -2x)

Multiply V * x
xV = (x)(8 + -2x)(10 + -2x)

Multiply (8 + -2x) * (10 + -2x)
xV = x(8(10 + -2x) + -2x * (10 + -2x))
xV = x((10 * 8 + -2x * 8) + -2x * (10 + -2x))
xV = x((80 + -16x) + -2x * (10 + -2x))
xV = x(80 + -16x + (10 * -2x + -2x * -2x))
xV = x(80 + -16x + (-20x + 4x2))

Combine like terms: -16x + -20x = -36x
xV = x(80 + -36x + 4x2)
xV = (80 * x + -36x * x + 4x2 * x)
xV = (80x + -36x2 + 4x3)

Solving
xV = 80x + -36x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-80x + xV + 36x2 + -4x3 = 80x + -36x2 + 4x3 + -80x + 36x2 + -4x3

Reorder the terms:
-80x + xV + 36x2 + -4x3 = 80x + -80x + -36x2 + 36x2 + 4x3 + -4x3

Combine like terms: 80x + -80x = 0
-80x + xV + 36x2 + -4x3 = 0 + -36x2 + 36x2 + 4x3 + -4x3
-80x + xV + 36x2 + -4x3 = -36x2 + 36x2 + 4x3 + -4x3

Combine like terms: -36x2 + 36x2 = 0
-80x + xV + 36x2 + -4x3 = 0 + 4x3 + -4x3
-80x + xV + 36x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-80x + xV + 36x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-80 + V + 36x + -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 '(-80 + V + 36x + -4x2)' equal to zero and attempt to solve:

Simplifying
-80 + V + 36x + -4x2 = 0

Solving
-80 + V + 36x + -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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