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

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


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

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

Multiply (18 + -2x) * (24 + -2x)
vx = x(18(24 + -2x) + -2x * (24 + -2x))
vx = x((24 * 18 + -2x * 18) + -2x * (24 + -2x))
vx = x((432 + -36x) + -2x * (24 + -2x))
vx = x(432 + -36x + (24 * -2x + -2x * -2x))
vx = x(432 + -36x + (-48x + 4x2))

Combine like terms: -36x + -48x = -84x
vx = x(432 + -84x + 4x2)
vx = (432 * x + -84x * x + 4x2 * x)
vx = (432x + -84x2 + 4x3)

Solving
vx = 432x + -84x2 + 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 = 432 + -84x + 4x2

Simplifying
v = 432 + -84x + 4x2

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