v(x)=x(24-x)(18-2x)

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Solution for v(x)=x(24-x)(18-2x) equation:


Simplifying
v(x) = x(24 + -1x)(18 + -2x)

Multiply v * x
vx = x(24 + -1x)(18 + -2x)

Multiply (24 + -1x) * (18 + -2x)
vx = x(24(18 + -2x) + -1x * (18 + -2x))
vx = x((18 * 24 + -2x * 24) + -1x * (18 + -2x))
vx = x((432 + -48x) + -1x * (18 + -2x))
vx = x(432 + -48x + (18 * -1x + -2x * -1x))
vx = x(432 + -48x + (-18x + 2x2))

Combine like terms: -48x + -18x = -66x
vx = x(432 + -66x + 2x2)
vx = (432 * x + -66x * x + 2x2 * x)
vx = (432x + -66x2 + 2x3)

Solving
vx = 432x + -66x2 + 2x3

Solving for variable 'v'.

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

Divide each side by 'x'.
v = 432 + -66x + 2x2

Simplifying
v = 432 + -66x + 2x2

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