V(x)=x(8-2x)(14-2x)

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Solution for V(x)=x(8-2x)(14-2x) equation: 


Simplifying
V(x) = x(8 + -2x)(14 + -2x)

Multiply V * x
xV = x(8 + -2x)(14 + -2x)

Multiply (8 + -2x) * (14 + -2x)
xV = x(8(14 + -2x) + -2x * (14 + -2x))
xV = x((14 * 8 + -2x * 8) + -2x * (14 + -2x))
xV = x((112 + -16x) + -2x * (14 + -2x))
xV = x(112 + -16x + (14 * -2x + -2x * -2x))
xV = x(112 + -16x + (-28x + 4x2))

Combine like terms: -16x + -28x = -44x
xV = x(112 + -44x + 4x2)
xV = (112 * x + -44x * x + 4x2 * x)
xV = (112x + -44x2 + 4x3)

Solving
xV = 112x + -44x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-112x + xV + 44x2 + -4x3 = 112x + -44x2 + 4x3 + -112x + 44x2 + -4x3

Reorder the terms:
-112x + xV + 44x2 + -4x3 = 112x + -112x + -44x2 + 44x2 + 4x3 + -4x3

Combine like terms: 112x + -112x = 0
-112x + xV + 44x2 + -4x3 = 0 + -44x2 + 44x2 + 4x3 + -4x3
-112x + xV + 44x2 + -4x3 = -44x2 + 44x2 + 4x3 + -4x3

Combine like terms: -44x2 + 44x2 = 0
-112x + xV + 44x2 + -4x3 = 0 + 4x3 + -4x3
-112x + xV + 44x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-112x + xV + 44x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-112 + V + 44x + -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 '(-112 + V + 44x + -4x2)' equal to zero and attempt to solve:

Simplifying
-112 + V + 44x + -4x2 = 0

Solving
-112 + V + 44x + -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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