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Simplifying v(x) = (11 + -2x)(8.5 + -2x)(2x) Multiply v * x vx = (11 + -2x)(8.5 + -2x)(2x) Remove parenthesis around (2x) vx = (11 + -2x)(8.5 + -2x) * 2x Reorder the terms for easier multiplication: vx = 2x(11 + -2x)(8.5 + -2x) Multiply (11 + -2x) * (8.5 + -2x) vx = 2x(11(8.5 + -2x) + -2x * (8.5 + -2x)) vx = 2x((8.5 * 11 + -2x * 11) + -2x * (8.5 + -2x)) vx = 2x((93.5 + -22x) + -2x * (8.5 + -2x)) vx = 2x(93.5 + -22x + (8.5 * -2x + -2x * -2x)) vx = 2x(93.5 + -22x + (-17x + 4x2)) Combine like terms: -22x + -17x = -39x vx = 2x(93.5 + -39x + 4x2) vx = (93.5 * 2x + -39x * 2x + 4x2 * 2x) vx = (187x + -78x2 + 8x3) Solving vx = 187x + -78x2 + 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 = 187 + -78x + 8x2 Simplifying v = 187 + -78x + 8x2
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