V(x)=(30-2x)(20-2x)x

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Solution for V(x)=(30-2x)(20-2x)x equation: 


Simplifying
V(x) = (30 + -2x)(20 + -2x) * x

Multiply V * x
xV = (30 + -2x)(20 + -2x) * x

Reorder the terms for easier multiplication:
xV = x(30 + -2x)(20 + -2x)

Multiply (30 + -2x) * (20 + -2x)
xV = x(30(20 + -2x) + -2x * (20 + -2x))
xV = x((20 * 30 + -2x * 30) + -2x * (20 + -2x))
xV = x((600 + -60x) + -2x * (20 + -2x))
xV = x(600 + -60x + (20 * -2x + -2x * -2x))
xV = x(600 + -60x + (-40x + 4x2))

Combine like terms: -60x + -40x = -100x
xV = x(600 + -100x + 4x2)
xV = (600 * x + -100x * x + 4x2 * x)
xV = (600x + -100x2 + 4x3)

Solving
xV = 600x + -100x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-600x + xV + 100x2 + -4x3 = 600x + -100x2 + 4x3 + -600x + 100x2 + -4x3

Reorder the terms:
-600x + xV + 100x2 + -4x3 = 600x + -600x + -100x2 + 100x2 + 4x3 + -4x3

Combine like terms: 600x + -600x = 0
-600x + xV + 100x2 + -4x3 = 0 + -100x2 + 100x2 + 4x3 + -4x3
-600x + xV + 100x2 + -4x3 = -100x2 + 100x2 + 4x3 + -4x3

Combine like terms: -100x2 + 100x2 = 0
-600x + xV + 100x2 + -4x3 = 0 + 4x3 + -4x3
-600x + xV + 100x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-600x + xV + 100x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-600 + V + 100x + -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 '(-600 + V + 100x + -4x2)' equal to zero and attempt to solve:

Simplifying
-600 + V + 100x + -4x2 = 0

Solving
-600 + V + 100x + -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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