v(x)=8x(8-x)(16-x)

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Solution for v(x)=8x(8-x)(16-x) equation:


Simplifying
v(x) = 8x(8 + -1x)(16 + -1x)

Multiply v * x
vx = 8x(8 + -1x)(16 + -1x)

Multiply (8 + -1x) * (16 + -1x)
vx = 8x(8(16 + -1x) + -1x * (16 + -1x))
vx = 8x((16 * 8 + -1x * 8) + -1x * (16 + -1x))
vx = 8x((128 + -8x) + -1x * (16 + -1x))
vx = 8x(128 + -8x + (16 * -1x + -1x * -1x))
vx = 8x(128 + -8x + (-16x + 1x2))

Combine like terms: -8x + -16x = -24x
vx = 8x(128 + -24x + 1x2)
vx = (128 * 8x + -24x * 8x + 1x2 * 8x)
vx = (1024x + -192x2 + 8x3)

Solving
vx = 1024x + -192x2 + 8x3

Solving for variable 'v'.

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

Divide each side by 'x'.
v = 1024 + -192x + 8x2

Simplifying
v = 1024 + -192x + 8x2

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