v(x)=x(15-2x)(10-2x)

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Solution for v(x)=x(15-2x)(10-2x) equation:


Simplifying
v(x) = x(15 + -2x)(10 + -2x)

Multiply v * x
vx = x(15 + -2x)(10 + -2x)

Multiply (15 + -2x) * (10 + -2x)
vx = x(15(10 + -2x) + -2x * (10 + -2x))
vx = x((10 * 15 + -2x * 15) + -2x * (10 + -2x))
vx = x((150 + -30x) + -2x * (10 + -2x))
vx = x(150 + -30x + (10 * -2x + -2x * -2x))
vx = x(150 + -30x + (-20x + 4x2))

Combine like terms: -30x + -20x = -50x
vx = x(150 + -50x + 4x2)
vx = (150 * x + -50x * x + 4x2 * x)
vx = (150x + -50x2 + 4x3)

Solving
vx = 150x + -50x2 + 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 = 150 + -50x + 4x2

Simplifying
v = 150 + -50x + 4x2

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