V(x)=(18-2x)(2-2x)x

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Solution for V(x)=(18-2x)(2-2x)x equation: 


Simplifying
V(x) = (18 + -2x)(2 + -2x) * x

Multiply V * x
xV = (18 + -2x)(2 + -2x) * x

Reorder the terms for easier multiplication:
xV = x(18 + -2x)(2 + -2x)

Multiply (18 + -2x) * (2 + -2x)
xV = x(18(2 + -2x) + -2x * (2 + -2x))
xV = x((2 * 18 + -2x * 18) + -2x * (2 + -2x))
xV = x((36 + -36x) + -2x * (2 + -2x))
xV = x(36 + -36x + (2 * -2x + -2x * -2x))
xV = x(36 + -36x + (-4x + 4x2))

Combine like terms: -36x + -4x = -40x
xV = x(36 + -40x + 4x2)
xV = (36 * x + -40x * x + 4x2 * x)
xV = (36x + -40x2 + 4x3)

Solving
xV = 36x + -40x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-36x + xV + 40x2 + -4x3 = 36x + -40x2 + 4x3 + -36x + 40x2 + -4x3

Reorder the terms:
-36x + xV + 40x2 + -4x3 = 36x + -36x + -40x2 + 40x2 + 4x3 + -4x3

Combine like terms: 36x + -36x = 0
-36x + xV + 40x2 + -4x3 = 0 + -40x2 + 40x2 + 4x3 + -4x3
-36x + xV + 40x2 + -4x3 = -40x2 + 40x2 + 4x3 + -4x3

Combine like terms: -40x2 + 40x2 = 0
-36x + xV + 40x2 + -4x3 = 0 + 4x3 + -4x3
-36x + xV + 40x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-36x + xV + 40x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + V + 40x + -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 '(-36 + V + 40x + -4x2)' equal to zero and attempt to solve:

Simplifying
-36 + V + 40x + -4x2 = 0

Solving
-36 + V + 40x + -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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