V(x)=(12-2x)(12-2x)(x)

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Solution for V(x)=(12-2x)(12-2x)(x) equation:


Simplifying
V(x) = (12 + -2x)(12 + -2x)(x)

Multiply V * x
xV = (12 + -2x)(12 + -2x)(x)

Reorder the terms for easier multiplication:
xV = x(12 + -2x)(12 + -2x)

Multiply (12 + -2x) * (12 + -2x)
xV = x(12(12 + -2x) + -2x * (12 + -2x))
xV = x((12 * 12 + -2x * 12) + -2x * (12 + -2x))
xV = x((144 + -24x) + -2x * (12 + -2x))
xV = x(144 + -24x + (12 * -2x + -2x * -2x))
xV = x(144 + -24x + (-24x + 4x2))

Combine like terms: -24x + -24x = -48x
xV = x(144 + -48x + 4x2)
xV = (144 * x + -48x * x + 4x2 * x)
xV = (144x + -48x2 + 4x3)

Solving
xV = 144x + -48x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-144x + xV + 48x2 + -4x3 = 144x + -48x2 + 4x3 + -144x + 48x2 + -4x3

Reorder the terms:
-144x + xV + 48x2 + -4x3 = 144x + -144x + -48x2 + 48x2 + 4x3 + -4x3

Combine like terms: 144x + -144x = 0
-144x + xV + 48x2 + -4x3 = 0 + -48x2 + 48x2 + 4x3 + -4x3
-144x + xV + 48x2 + -4x3 = -48x2 + 48x2 + 4x3 + -4x3

Combine like terms: -48x2 + 48x2 = 0
-144x + xV + 48x2 + -4x3 = 0 + 4x3 + -4x3
-144x + xV + 48x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-144x + xV + 48x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-144 + 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 '(-144 + V + 48x + -4x2)' equal to zero and attempt to solve: Simplifying -144 + V + 48x + -4x2 = 0 Solving -144 + 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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