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

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


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

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

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

Combine like terms: -60x + -80x = -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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