v(x)=x(50-2x)(30-2x)

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Solution for v(x)=x(50-2x)(30-2x) equation: 


Simplifying
v(x) = x(50 + -2x)(30 + -2x)

Multiply v * x
vx = x(50 + -2x)(30 + -2x)

Multiply (50 + -2x) * (30 + -2x)
vx = x(50(30 + -2x) + -2x * (30 + -2x))
vx = x((30 * 50 + -2x * 50) + -2x * (30 + -2x))
vx = x((1500 + -100x) + -2x * (30 + -2x))
vx = x(1500 + -100x + (30 * -2x + -2x * -2x))
vx = x(1500 + -100x + (-60x + 4x2))

Combine like terms: -100x + -60x = -160x
vx = x(1500 + -160x + 4x2)
vx = (1500 * x + -160x * x + 4x2 * x)
vx = (1500x + -160x2 + 4x3)

Solving
vx = 1500x + -160x2 + 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 = 1500 + -160x + 4x2

Simplifying
v = 1500 + -160x + 4x2

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