V(x)=(16-2x)(8-2x)x

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Solution for V(x)=(16-2x)(8-2x)x equation:


Simplifying
V(x) = (16 + -2x)(8 + -2x) * x

Multiply V * x
xV = (16 + -2x)(8 + -2x) * x

Reorder the terms for easier multiplication:
xV = x(16 + -2x)(8 + -2x)

Multiply (16 + -2x) * (8 + -2x)
xV = x(16(8 + -2x) + -2x * (8 + -2x))
xV = x((8 * 16 + -2x * 16) + -2x * (8 + -2x))
xV = x((128 + -32x) + -2x * (8 + -2x))
xV = x(128 + -32x + (8 * -2x + -2x * -2x))
xV = x(128 + -32x + (-16x + 4x2))

Combine like terms: -32x + -16x = -48x
xV = x(128 + -48x + 4x2)
xV = (128 * x + -48x * x + 4x2 * x)
xV = (128x + -48x2 + 4x3)

Solving
xV = 128x + -48x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-128x + xV + 48x2 + -4x3 = 128x + -48x2 + 4x3 + -128x + 48x2 + -4x3

Reorder the terms:
-128x + xV + 48x2 + -4x3 = 128x + -128x + -48x2 + 48x2 + 4x3 + -4x3

Combine like terms: 128x + -128x = 0
-128x + xV + 48x2 + -4x3 = 0 + -48x2 + 48x2 + 4x3 + -4x3
-128x + xV + 48x2 + -4x3 = -48x2 + 48x2 + 4x3 + -4x3

Combine like terms: -48x2 + 48x2 = 0
-128x + xV + 48x2 + -4x3 = 0 + 4x3 + -4x3
-128x + xV + 48x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-128x + xV + 48x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-128 + 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 '(-128 + V + 48x + -4x2)' equal to zero and attempt to solve: Simplifying -128 + V + 48x + -4x2 = 0 Solving -128 + 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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