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Simplifying v(x) = (x)(9 + -2x)(12 + -2x) Multiply v * x vx = (x)(9 + -2x)(12 + -2x) Multiply (9 + -2x) * (12 + -2x) vx = x(9(12 + -2x) + -2x * (12 + -2x)) vx = x((12 * 9 + -2x * 9) + -2x * (12 + -2x)) vx = x((108 + -18x) + -2x * (12 + -2x)) vx = x(108 + -18x + (12 * -2x + -2x * -2x)) vx = x(108 + -18x + (-24x + 4x2)) Combine like terms: -18x + -24x = -42x vx = x(108 + -42x + 4x2) vx = (108 * x + -42x * x + 4x2 * x) vx = (108x + -42x2 + 4x3) Solving vx = 108x + -42x2 + 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 = 108 + -42x + 4x2 Simplifying v = 108 + -42x + 4x2
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