v(x)=(x)(9-2x)(12-2x)

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Solution for v(x)=(x)(9-2x)(12-2x) equation:


Simplifying
v(x) = (x)(9 + -2x)(12 + -2x)

Multiply v * x
vx = (x)(9 + -2x)(12 + -2x)

Multiply (9 + -2x) * (12 + -2x)
vx = x(9(12 + -2x) + -2x * (12 + -2x))
vx = x((12 * 9 + -2x * 9) + -2x * (12 + -2x))
vx = x((108 + -18x) + -2x * (12 + -2x))
vx = x(108 + -18x + (12 * -2x + -2x * -2x))
vx = x(108 + -18x + (-24x + 4x2))

Combine like terms: -18x + -24x = -42x
vx = x(108 + -42x + 4x2)
vx = (108 * x + -42x * x + 4x2 * x)
vx = (108x + -42x2 + 4x3)

Solving
vx = 108x + -42x2 + 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 = 108 + -42x + 4x2

Simplifying
v = 108 + -42x + 4x2

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