V(x)=(14-2x)(10-2x)(x)

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Solution for V(x)=(14-2x)(10-2x)(x) equation: 


Simplifying
V(x) = (14 + -2x)(10 + -2x)(x)

Multiply V * x
xV = (14 + -2x)(10 + -2x)(x)

Reorder the terms for easier multiplication:
xV = x(14 + -2x)(10 + -2x)

Multiply (14 + -2x) * (10 + -2x)
xV = x(14(10 + -2x) + -2x * (10 + -2x))
xV = x((10 * 14 + -2x * 14) + -2x * (10 + -2x))
xV = x((140 + -28x) + -2x * (10 + -2x))
xV = x(140 + -28x + (10 * -2x + -2x * -2x))
xV = x(140 + -28x + (-20x + 4x2))

Combine like terms: -28x + -20x = -48x
xV = x(140 + -48x + 4x2)
xV = (140 * x + -48x * x + 4x2 * x)
xV = (140x + -48x2 + 4x3)

Solving
xV = 140x + -48x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-140x + xV + 48x2 + -4x3 = 140x + -48x2 + 4x3 + -140x + 48x2 + -4x3

Reorder the terms:
-140x + xV + 48x2 + -4x3 = 140x + -140x + -48x2 + 48x2 + 4x3 + -4x3

Combine like terms: 140x + -140x = 0
-140x + xV + 48x2 + -4x3 = 0 + -48x2 + 48x2 + 4x3 + -4x3
-140x + xV + 48x2 + -4x3 = -48x2 + 48x2 + 4x3 + -4x3

Combine like terms: -48x2 + 48x2 = 0
-140x + xV + 48x2 + -4x3 = 0 + 4x3 + -4x3
-140x + xV + 48x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-140x + xV + 48x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-140 + V + 48x + -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 '(-140 + V + 48x + -4x2)' equal to zero and attempt to solve:

Simplifying
-140 + V + 48x + -4x2 = 0

Solving
-140 + V + 48x + -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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