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Simplifying v(x) = x(20 + -12.9x)(30 + -22.9x) Multiply v * x vx = x(20 + -12.9x)(30 + -22.9x) Multiply (20 + -12.9x) * (30 + -22.9x) vx = x(20(30 + -22.9x) + -12.9x * (30 + -22.9x)) vx = x((30 * 20 + -22.9x * 20) + -12.9x * (30 + -22.9x)) vx = x((600 + -458x) + -12.9x * (30 + -22.9x)) vx = x(600 + -458x + (30 * -12.9x + -22.9x * -12.9x)) vx = x(600 + -458x + (-387x + 295.41x2)) Combine like terms: -458x + -387x = -845x vx = x(600 + -845x + 295.41x2) vx = (600 * x + -845x * x + 295.41x2 * x) vx = (600x + -845x2 + 295.41x3) Solving vx = 600x + -845x2 + 295.41x3 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 + -845x + 295.41x2 Simplifying v = 600 + -845x + 295.41x2
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