V(x)=(18-2x)(12-2x)(x)

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Solution for V(x)=(18-2x)(12-2x)(x) equation:


Simplifying
V(x) = (18 + -2x)(12 + -2x)(x)

Multiply V * x
xV = (18 + -2x)(12 + -2x)(x)

Reorder the terms for easier multiplication:
xV = x(18 + -2x)(12 + -2x)

Multiply (18 + -2x) * (12 + -2x)
xV = x(18(12 + -2x) + -2x * (12 + -2x))
xV = x((12 * 18 + -2x * 18) + -2x * (12 + -2x))
xV = x((216 + -36x) + -2x * (12 + -2x))
xV = x(216 + -36x + (12 * -2x + -2x * -2x))
xV = x(216 + -36x + (-24x + 4x2))

Combine like terms: -36x + -24x = -60x
xV = x(216 + -60x + 4x2)
xV = (216 * x + -60x * x + 4x2 * x)
xV = (216x + -60x2 + 4x3)

Solving
xV = 216x + -60x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-216x + xV + 60x2 + -4x3 = 216x + -60x2 + 4x3 + -216x + 60x2 + -4x3

Reorder the terms:
-216x + xV + 60x2 + -4x3 = 216x + -216x + -60x2 + 60x2 + 4x3 + -4x3

Combine like terms: 216x + -216x = 0
-216x + xV + 60x2 + -4x3 = 0 + -60x2 + 60x2 + 4x3 + -4x3
-216x + xV + 60x2 + -4x3 = -60x2 + 60x2 + 4x3 + -4x3

Combine like terms: -60x2 + 60x2 = 0
-216x + xV + 60x2 + -4x3 = 0 + 4x3 + -4x3
-216x + xV + 60x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-216x + xV + 60x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-216 + V + 60x + -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 '(-216 + V + 60x + -4x2)' equal to zero and attempt to solve: Simplifying -216 + V + 60x + -4x2 = 0 Solving -216 + V + 60x + -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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