V(x)=(8-2x)(15-2x)x

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Solution for V(x)=(8-2x)(15-2x)x equation: 


Simplifying
V(x) = (8 + -2x)(15 + -2x) * x

Multiply V * x
xV = (8 + -2x)(15 + -2x) * x

Reorder the terms for easier multiplication:
xV = x(8 + -2x)(15 + -2x)

Multiply (8 + -2x) * (15 + -2x)
xV = x(8(15 + -2x) + -2x * (15 + -2x))
xV = x((15 * 8 + -2x * 8) + -2x * (15 + -2x))
xV = x((120 + -16x) + -2x * (15 + -2x))
xV = x(120 + -16x + (15 * -2x + -2x * -2x))
xV = x(120 + -16x + (-30x + 4x2))

Combine like terms: -16x + -30x = -46x
xV = x(120 + -46x + 4x2)
xV = (120 * x + -46x * x + 4x2 * x)
xV = (120x + -46x2 + 4x3)

Solving
xV = 120x + -46x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-120x + xV + 46x2 + -4x3 = 120x + -46x2 + 4x3 + -120x + 46x2 + -4x3

Reorder the terms:
-120x + xV + 46x2 + -4x3 = 120x + -120x + -46x2 + 46x2 + 4x3 + -4x3

Combine like terms: 120x + -120x = 0
-120x + xV + 46x2 + -4x3 = 0 + -46x2 + 46x2 + 4x3 + -4x3
-120x + xV + 46x2 + -4x3 = -46x2 + 46x2 + 4x3 + -4x3

Combine like terms: -46x2 + 46x2 = 0
-120x + xV + 46x2 + -4x3 = 0 + 4x3 + -4x3
-120x + xV + 46x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-120x + xV + 46x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-120 + V + 46x + -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 '(-120 + V + 46x + -4x2)' equal to zero and attempt to solve:

Simplifying
-120 + V + 46x + -4x2 = 0

Solving
-120 + V + 46x + -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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