V(x)=x(x+10)*[40-(x+x+10)]

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Solution for V(x)=x(x+10)*[40-(x+x+10)] equation: 


Simplifying
V(x) = x(x + 10)[40 + -1(x + x + 10)]

Multiply V * x
xV = x(x + 10)[40 + -1(x + x + 10)]

Reorder the terms:
xV = x(10 + x)[40 + -1(x + x + 10)]

Reorder the terms:
xV = x(10 + x)[40 + -1(10 + x + x)]

Combine like terms: x + x = 2x
xV = x(10 + x)[40 + -1(10 + 2x)]
xV = x(10 + x)[40 + (10 * -1 + 2x * -1)]
xV = x(10 + x)[40 + (-10 + -2x)]

Combine like terms: 40 + -10 = 30
xV = x(10 + x)[30 + -2x]

Multiply (10 + x) * [30 + -2x]
xV = x(10[30 + -2x] + x[30 + -2x])
xV = x([30 * 10 + -2x * 10] + x[30 + -2x])
xV = x([300 + -20x] + x[30 + -2x])
xV = x(300 + -20x + [30 * x + -2x * x])
xV = x(300 + -20x + [30x + -2x2])

Combine like terms: -20x + 30x = 10x
xV = x(300 + 10x + -2x2)
xV = (300 * x + 10x * x + -2x2 * x)
xV = (300x + 10x2 + -2x3)

Solving
xV = 300x + 10x2 + -2x3

Solving for variable 'x'.

Reorder the terms:
-300x + xV + -10x2 + 2x3 = 300x + 10x2 + -2x3 + -300x + -10x2 + 2x3

Reorder the terms:
-300x + xV + -10x2 + 2x3 = 300x + -300x + 10x2 + -10x2 + -2x3 + 2x3

Combine like terms: 300x + -300x = 0
-300x + xV + -10x2 + 2x3 = 0 + 10x2 + -10x2 + -2x3 + 2x3
-300x + xV + -10x2 + 2x3 = 10x2 + -10x2 + -2x3 + 2x3

Combine like terms: 10x2 + -10x2 = 0
-300x + xV + -10x2 + 2x3 = 0 + -2x3 + 2x3
-300x + xV + -10x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-300x + xV + -10x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-300 + V + -10x + 2x2) = 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 '(-300 + V + -10x + 2x2)' equal to zero and attempt to solve:

Simplifying
-300 + V + -10x + 2x2 = 0

Solving
-300 + V + -10x + 2x2 = 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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