V(x)=x(12-2x)

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Solution for V(x)=x(12-2x) equation: 


Simplifying
V(x) = x(12 + -2x)

Multiply V * x
xV = x(12 + -2x)
xV = (12 * x + -2x * x)
xV = (12x + -2x2)

Solving
xV = 12x + -2x2

Solving for variable 'x'.

Reorder the terms:
-12x + xV + 2x2 = 12x + -2x2 + -12x + 2x2

Reorder the terms:
-12x + xV + 2x2 = 12x + -12x + -2x2 + 2x2

Combine like terms: 12x + -12x = 0
-12x + xV + 2x2 = 0 + -2x2 + 2x2
-12x + xV + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-12x + xV + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + V + 2x) = 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 '(-12 + V + 2x)' equal to zero and attempt to solve:

Simplifying
-12 + V + 2x = 0

Solving
-12 + V + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + V + 12 + 2x = 0 + 12

Reorder the terms:
-12 + 12 + V + 2x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + V + 2x = 0 + 12
V + 2x = 0 + 12

Combine like terms: 0 + 12 = 12
V + 2x = 12

Add '-1V' to each side of the equation.
V + -1V + 2x = 12 + -1V

Combine like terms: V + -1V = 0
0 + 2x = 12 + -1V
2x = 12 + -1V

Divide each side by '2'.
x = 6 + -0.5V

Simplifying
x = 6 + -0.5V
Solution
x = {0, 6 + -0.5V}

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