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Simplifying v(x) = (10 + -2x)(8 + -2x)(x) Multiply v * x vx = (10 + -2x)(8 + -2x)(x) Reorder the terms for easier multiplication: vx = x(10 + -2x)(8 + -2x) Multiply (10 + -2x) * (8 + -2x) vx = x(10(8 + -2x) + -2x * (8 + -2x)) vx = x((8 * 10 + -2x * 10) + -2x * (8 + -2x)) vx = x((80 + -20x) + -2x * (8 + -2x)) vx = x(80 + -20x + (8 * -2x + -2x * -2x)) vx = x(80 + -20x + (-16x + 4x2)) Combine like terms: -20x + -16x = -36x vx = x(80 + -36x + 4x2) vx = (80 * x + -36x * x + 4x2 * x) vx = (80x + -36x2 + 4x3) Solving vx = 80x + -36x2 + 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 = 80 + -36x + 4x2 Simplifying v = 80 + -36x + 4x2
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