v(x)=x(160-2x)(20-2x)

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Solution for v(x)=x(160-2x)(20-2x) equation: 


Simplifying
v(x) = x(160 + -2x)(20 + -2x)

Multiply v * x
vx = x(160 + -2x)(20 + -2x)

Multiply (160 + -2x) * (20 + -2x)
vx = x(160(20 + -2x) + -2x * (20 + -2x))
vx = x((20 * 160 + -2x * 160) + -2x * (20 + -2x))
vx = x((3200 + -320x) + -2x * (20 + -2x))
vx = x(3200 + -320x + (20 * -2x + -2x * -2x))
vx = x(3200 + -320x + (-40x + 4x2))

Combine like terms: -320x + -40x = -360x
vx = x(3200 + -360x + 4x2)
vx = (3200 * x + -360x * x + 4x2 * x)
vx = (3200x + -360x2 + 4x3)

Solving
vx = 3200x + -360x2 + 4x3

Solving for variable 'v'.

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

Divide each side by 'x'.
v = 3200 + -360x + 4x2

Simplifying
v = 3200 + -360x + 4x2

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