(v)x=(30-2x)(20-2x)x

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Solution for (v)x=(30-2x)(20-2x)x equation: 


Simplifying
(v) * x = (30 + -2x)(20 + -2x) * x

Multiply v * x
vx = (30 + -2x)(20 + -2x) * x

Reorder the terms for easier multiplication:
vx = x(30 + -2x)(20 + -2x)

Multiply (30 + -2x) * (20 + -2x)
vx = x(30(20 + -2x) + -2x * (20 + -2x))
vx = x((20 * 30 + -2x * 30) + -2x * (20 + -2x))
vx = x((600 + -60x) + -2x * (20 + -2x))
vx = x(600 + -60x + (20 * -2x + -2x * -2x))
vx = x(600 + -60x + (-40x + 4x2))

Combine like terms: -60x + -40x = -100x
vx = x(600 + -100x + 4x2)
vx = (600 * x + -100x * x + 4x2 * x)
vx = (600x + -100x2 + 4x3)

Solving
vx = 600x + -100x2 + 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 = 600 + -100x + 4x2

Simplifying
v = 600 + -100x + 4x2

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