(40-2x)(20-x)x=v(x)

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Solution for (40-2x)(20-x)x=v(x) equation: 


Simplifying
(40 + -2x)(20 + -1x) * x = v(x)

Reorder the terms for easier multiplication:
x(40 + -2x)(20 + -1x) = v(x)

Multiply (40 + -2x) * (20 + -1x)
x(40(20 + -1x) + -2x * (20 + -1x)) = v(x)
x((20 * 40 + -1x * 40) + -2x * (20 + -1x)) = v(x)
x((800 + -40x) + -2x * (20 + -1x)) = v(x)
x(800 + -40x + (20 * -2x + -1x * -2x)) = v(x)
x(800 + -40x + (-40x + 2x2)) = v(x)

Combine like terms: -40x + -40x = -80x
x(800 + -80x + 2x2) = v(x)
(800 * x + -80x * x + 2x2 * x) = v(x)
(800x + -80x2 + 2x3) = v(x)

Multiply v * x
800x + -80x2 + 2x3 = vx

Solving
800x + -80x2 + 2x3 = vx

Solving for variable 'x'.

Reorder the terms:
-1vx + 800x + -80x2 + 2x3 = vx + -1vx

Combine like terms: vx + -1vx = 0
-1vx + 800x + -80x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1v + 800 + -80x + 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 '(-1v + 800 + -80x + 2x2)' equal to zero and attempt to solve:

Simplifying
-1v + 800 + -80x + 2x2 = 0

Reorder the terms:
800 + -1v + -80x + 2x2 = 0

Solving
800 + -1v + -80x + 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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