v(x)=x(12-2x)(18-2x)

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Solution for v(x)=x(12-2x)(18-2x) equation: 


Simplifying
v(x) = x(12 + -2x)(18 + -2x)

Multiply v * x
vx = x(12 + -2x)(18 + -2x)

Multiply (12 + -2x) * (18 + -2x)
vx = x(12(18 + -2x) + -2x * (18 + -2x))
vx = x((18 * 12 + -2x * 12) + -2x * (18 + -2x))
vx = x((216 + -24x) + -2x * (18 + -2x))
vx = x(216 + -24x + (18 * -2x + -2x * -2x))
vx = x(216 + -24x + (-36x + 4x2))

Combine like terms: -24x + -36x = -60x
vx = x(216 + -60x + 4x2)
vx = (216 * x + -60x * x + 4x2 * x)
vx = (216x + -60x2 + 4x3)

Solving
vx = 216x + -60x2 + 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 = 216 + -60x + 4x2

Simplifying
v = 216 + -60x + 4x2

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