V(x)=(6-2x)(5-2x)x

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Solution for V(x)=(6-2x)(5-2x)x equation: 


Simplifying
V(x) = (6 + -2x)(5 + -2x) * x

Multiply V * x
xV = (6 + -2x)(5 + -2x) * x

Reorder the terms for easier multiplication:
xV = x(6 + -2x)(5 + -2x)

Multiply (6 + -2x) * (5 + -2x)
xV = x(6(5 + -2x) + -2x * (5 + -2x))
xV = x((5 * 6 + -2x * 6) + -2x * (5 + -2x))
xV = x((30 + -12x) + -2x * (5 + -2x))
xV = x(30 + -12x + (5 * -2x + -2x * -2x))
xV = x(30 + -12x + (-10x + 4x2))

Combine like terms: -12x + -10x = -22x
xV = x(30 + -22x + 4x2)
xV = (30 * x + -22x * x + 4x2 * x)
xV = (30x + -22x2 + 4x3)

Solving
xV = 30x + -22x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-30x + xV + 22x2 + -4x3 = 30x + -22x2 + 4x3 + -30x + 22x2 + -4x3

Reorder the terms:
-30x + xV + 22x2 + -4x3 = 30x + -30x + -22x2 + 22x2 + 4x3 + -4x3

Combine like terms: 30x + -30x = 0
-30x + xV + 22x2 + -4x3 = 0 + -22x2 + 22x2 + 4x3 + -4x3
-30x + xV + 22x2 + -4x3 = -22x2 + 22x2 + 4x3 + -4x3

Combine like terms: -22x2 + 22x2 = 0
-30x + xV + 22x2 + -4x3 = 0 + 4x3 + -4x3
-30x + xV + 22x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-30x + xV + 22x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + V + 22x + -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 '(-30 + V + 22x + -4x2)' equal to zero and attempt to solve:

Simplifying
-30 + V + 22x + -4x2 = 0

Solving
-30 + V + 22x + -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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