Vx=(8.5-2x)(8.5-2x)(x)

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Solution for Vx=(8.5-2x)(8.5-2x)(x) equation:


Simplifying
Vx = (8.5 + -2x)(8.5 + -2x)(x)

Reorder the terms for easier multiplication:
xV = x(8.5 + -2x)(8.5 + -2x)

Multiply (8.5 + -2x) * (8.5 + -2x)
xV = x(8.5(8.5 + -2x) + -2x * (8.5 + -2x))
xV = x((8.5 * 8.5 + -2x * 8.5) + -2x * (8.5 + -2x))
xV = x((72.25 + -17x) + -2x * (8.5 + -2x))
xV = x(72.25 + -17x + (8.5 * -2x + -2x * -2x))
xV = x(72.25 + -17x + (-17x + 4x2))

Combine like terms: -17x + -17x = -34x
xV = x(72.25 + -34x + 4x2)
xV = (72.25 * x + -34x * x + 4x2 * x)
xV = (72.25x + -34x2 + 4x3)

Solving
xV = 72.25x + -34x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-72.25x + xV + 34x2 + -4x3 = 72.25x + -34x2 + 4x3 + -72.25x + 34x2 + -4x3

Reorder the terms:
-72.25x + xV + 34x2 + -4x3 = 72.25x + -72.25x + -34x2 + 34x2 + 4x3 + -4x3

Combine like terms: 72.25x + -72.25x = 0.00
-72.25x + xV + 34x2 + -4x3 = 0.00 + -34x2 + 34x2 + 4x3 + -4x3
-72.25x + xV + 34x2 + -4x3 = -34x2 + 34x2 + 4x3 + -4x3

Combine like terms: -34x2 + 34x2 = 0
-72.25x + xV + 34x2 + -4x3 = 0 + 4x3 + -4x3
-72.25x + xV + 34x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-72.25x + xV + 34x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-72.25 + V + 34x + -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 '(-72.25 + V + 34x + -4x2)' equal to zero and attempt to solve: Simplifying -72.25 + V + 34x + -4x2 = 0 Solving -72.25 + V + 34x + -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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