V(x)=(21-2x)*(30-2x)*x

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Solution for V(x)=(21-2x)*(30-2x)*x equation: 


Simplifying
V(x) = (21 + -2x)(30 + -2x) * x

Multiply V * x
xV = (21 + -2x)(30 + -2x) * x

Reorder the terms for easier multiplication:
xV = x(21 + -2x)(30 + -2x)

Multiply (21 + -2x) * (30 + -2x)
xV = x(21(30 + -2x) + -2x * (30 + -2x))
xV = x((30 * 21 + -2x * 21) + -2x * (30 + -2x))
xV = x((630 + -42x) + -2x * (30 + -2x))
xV = x(630 + -42x + (30 * -2x + -2x * -2x))
xV = x(630 + -42x + (-60x + 4x2))

Combine like terms: -42x + -60x = -102x
xV = x(630 + -102x + 4x2)
xV = (630 * x + -102x * x + 4x2 * x)
xV = (630x + -102x2 + 4x3)

Solving
xV = 630x + -102x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-630x + xV + 102x2 + -4x3 = 630x + -102x2 + 4x3 + -630x + 102x2 + -4x3

Reorder the terms:
-630x + xV + 102x2 + -4x3 = 630x + -630x + -102x2 + 102x2 + 4x3 + -4x3

Combine like terms: 630x + -630x = 0
-630x + xV + 102x2 + -4x3 = 0 + -102x2 + 102x2 + 4x3 + -4x3
-630x + xV + 102x2 + -4x3 = -102x2 + 102x2 + 4x3 + -4x3

Combine like terms: -102x2 + 102x2 = 0
-630x + xV + 102x2 + -4x3 = 0 + 4x3 + -4x3
-630x + xV + 102x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-630x + xV + 102x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-630 + V + 102x + -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 '(-630 + V + 102x + -4x2)' equal to zero and attempt to solve:

Simplifying
-630 + V + 102x + -4x2 = 0

Solving
-630 + V + 102x + -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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