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Simplifying v(x) = x(18 + -2x)(24 + -2x) Multiply v * x vx = x(18 + -2x)(24 + -2x) Multiply (18 + -2x) * (24 + -2x) vx = x(18(24 + -2x) + -2x * (24 + -2x)) vx = x((24 * 18 + -2x * 18) + -2x * (24 + -2x)) vx = x((432 + -36x) + -2x * (24 + -2x)) vx = x(432 + -36x + (24 * -2x + -2x * -2x)) vx = x(432 + -36x + (-48x + 4x2)) Combine like terms: -36x + -48x = -84x vx = x(432 + -84x + 4x2) vx = (432 * x + -84x * x + 4x2 * x) vx = (432x + -84x2 + 4x3) Solving vx = 432x + -84x2 + 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 = 432 + -84x + 4x2 Simplifying v = 432 + -84x + 4x2
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