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