v(x)=x(40-2x)(30-2x)

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Solution for v(x)=x(40-2x)(30-2x) equation: 


Simplifying
v(x) = x(40 + -2x)(30 + -2x)

Multiply v * x
vx = x(40 + -2x)(30 + -2x)

Multiply (40 + -2x) * (30 + -2x)
vx = x(40(30 + -2x) + -2x * (30 + -2x))
vx = x((30 * 40 + -2x * 40) + -2x * (30 + -2x))
vx = x((1200 + -80x) + -2x * (30 + -2x))
vx = x(1200 + -80x + (30 * -2x + -2x * -2x))
vx = x(1200 + -80x + (-60x + 4x2))

Combine like terms: -80x + -60x = -140x
vx = x(1200 + -140x + 4x2)
vx = (1200 * x + -140x * x + 4x2 * x)
vx = (1200x + -140x2 + 4x3)

Solving
vx = 1200x + -140x2 + 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 = 1200 + -140x + 4x2

Simplifying
v = 1200 + -140x + 4x2

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