v(x)=(10-2x)(8-2x)(x)

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Solution for v(x)=(10-2x)(8-2x)(x) equation:


Simplifying
v(x) = (10 + -2x)(8 + -2x)(x)

Multiply v * x
vx = (10 + -2x)(8 + -2x)(x)

Reorder the terms for easier multiplication:
vx = x(10 + -2x)(8 + -2x)

Multiply (10 + -2x) * (8 + -2x)
vx = x(10(8 + -2x) + -2x * (8 + -2x))
vx = x((8 * 10 + -2x * 10) + -2x * (8 + -2x))
vx = x((80 + -20x) + -2x * (8 + -2x))
vx = x(80 + -20x + (8 * -2x + -2x * -2x))
vx = x(80 + -20x + (-16x + 4x2))

Combine like terms: -20x + -16x = -36x
vx = x(80 + -36x + 4x2)
vx = (80 * x + -36x * x + 4x2 * x)
vx = (80x + -36x2 + 4x3)

Solving
vx = 80x + -36x2 + 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 = 80 + -36x + 4x2

Simplifying
v = 80 + -36x + 4x2

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