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Simplifying v(x) = 8x(6 + -1x)(12 + -1x) Multiply v * x vx = 8x(6 + -1x)(12 + -1x) Multiply (6 + -1x) * (12 + -1x) vx = 8x(6(12 + -1x) + -1x * (12 + -1x)) vx = 8x((12 * 6 + -1x * 6) + -1x * (12 + -1x)) vx = 8x((72 + -6x) + -1x * (12 + -1x)) vx = 8x(72 + -6x + (12 * -1x + -1x * -1x)) vx = 8x(72 + -6x + (-12x + 1x2)) Combine like terms: -6x + -12x = -18x vx = 8x(72 + -18x + 1x2) vx = (72 * 8x + -18x * 8x + 1x2 * 8x) vx = (576x + -144x2 + 8x3) Solving vx = 576x + -144x2 + 8x3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by 'x'. v = 576 + -144x + 8x2 Simplifying v = 576 + -144x + 8x2
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