v(x)=x(x+10)(30-2x)

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Solution for v(x)=x(x+10)(30-2x) equation: 


Simplifying
v(x) = x(x + 10)(30 + -2x)

Multiply v * x
vx = x(x + 10)(30 + -2x)

Reorder the terms:
vx = x(10 + x)(30 + -2x)

Multiply (10 + x) * (30 + -2x)
vx = x(10(30 + -2x) + x(30 + -2x))
vx = x((30 * 10 + -2x * 10) + x(30 + -2x))
vx = x((300 + -20x) + x(30 + -2x))
vx = x(300 + -20x + (30 * x + -2x * x))
vx = x(300 + -20x + (30x + -2x2))

Combine like terms: -20x + 30x = 10x
vx = x(300 + 10x + -2x2)
vx = (300 * x + 10x * x + -2x2 * x)
vx = (300x + 10x2 + -2x3)

Solving
vx = 300x + 10x2 + -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 = 300 + 10x + -2x2

Simplifying
v = 300 + 10x + -2x2

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