V(x)=(70-2x)(50-2x)(x)

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Solution for V(x)=(70-2x)(50-2x)(x) equation: 


Simplifying
V(x) = (70 + -2x)(50 + -2x)(x)

Multiply V * x
xV = (70 + -2x)(50 + -2x)(x)

Reorder the terms for easier multiplication:
xV = x(70 + -2x)(50 + -2x)

Multiply (70 + -2x) * (50 + -2x)
xV = x(70(50 + -2x) + -2x * (50 + -2x))
xV = x((50 * 70 + -2x * 70) + -2x * (50 + -2x))
xV = x((3500 + -140x) + -2x * (50 + -2x))
xV = x(3500 + -140x + (50 * -2x + -2x * -2x))
xV = x(3500 + -140x + (-100x + 4x2))

Combine like terms: -140x + -100x = -240x
xV = x(3500 + -240x + 4x2)
xV = (3500 * x + -240x * x + 4x2 * x)
xV = (3500x + -240x2 + 4x3)

Solving
xV = 3500x + -240x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-3500x + xV + 240x2 + -4x3 = 3500x + -240x2 + 4x3 + -3500x + 240x2 + -4x3

Reorder the terms:
-3500x + xV + 240x2 + -4x3 = 3500x + -3500x + -240x2 + 240x2 + 4x3 + -4x3

Combine like terms: 3500x + -3500x = 0
-3500x + xV + 240x2 + -4x3 = 0 + -240x2 + 240x2 + 4x3 + -4x3
-3500x + xV + 240x2 + -4x3 = -240x2 + 240x2 + 4x3 + -4x3

Combine like terms: -240x2 + 240x2 = 0
-3500x + xV + 240x2 + -4x3 = 0 + 4x3 + -4x3
-3500x + xV + 240x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-3500x + xV + 240x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3500 + V + 240x + -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 '(-3500 + V + 240x + -4x2)' equal to zero and attempt to solve:

Simplifying
-3500 + V + 240x + -4x2 = 0

Solving
-3500 + V + 240x + -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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