V(x)=(24-2x)(24-2x)(x)

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Solution for V(x)=(24-2x)(24-2x)(x) equation:


Simplifying
V(x) = (24 + -2x)(24 + -2x)(x)

Multiply V * x
xV = (24 + -2x)(24 + -2x)(x)

Reorder the terms for easier multiplication:
xV = x(24 + -2x)(24 + -2x)

Multiply (24 + -2x) * (24 + -2x)
xV = x(24(24 + -2x) + -2x * (24 + -2x))
xV = x((24 * 24 + -2x * 24) + -2x * (24 + -2x))
xV = x((576 + -48x) + -2x * (24 + -2x))
xV = x(576 + -48x + (24 * -2x + -2x * -2x))
xV = x(576 + -48x + (-48x + 4x2))

Combine like terms: -48x + -48x = -96x
xV = x(576 + -96x + 4x2)
xV = (576 * x + -96x * x + 4x2 * x)
xV = (576x + -96x2 + 4x3)

Solving
xV = 576x + -96x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-576x + xV + 96x2 + -4x3 = 576x + -96x2 + 4x3 + -576x + 96x2 + -4x3

Reorder the terms:
-576x + xV + 96x2 + -4x3 = 576x + -576x + -96x2 + 96x2 + 4x3 + -4x3

Combine like terms: 576x + -576x = 0
-576x + xV + 96x2 + -4x3 = 0 + -96x2 + 96x2 + 4x3 + -4x3
-576x + xV + 96x2 + -4x3 = -96x2 + 96x2 + 4x3 + -4x3

Combine like terms: -96x2 + 96x2 = 0
-576x + xV + 96x2 + -4x3 = 0 + 4x3 + -4x3
-576x + xV + 96x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-576x + xV + 96x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-576 + V + 96x + -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 '(-576 + V + 96x + -4x2)' equal to zero and attempt to solve: Simplifying -576 + V + 96x + -4x2 = 0 Solving -576 + V + 96x + -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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