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Simplifying v(x) = (x)(5 + -2x)(9 + -2x) Multiply v * x vx = (x)(5 + -2x)(9 + -2x) Multiply (5 + -2x) * (9 + -2x) vx = x(5(9 + -2x) + -2x * (9 + -2x)) vx = x((9 * 5 + -2x * 5) + -2x * (9 + -2x)) vx = x((45 + -10x) + -2x * (9 + -2x)) vx = x(45 + -10x + (9 * -2x + -2x * -2x)) vx = x(45 + -10x + (-18x + 4x2)) Combine like terms: -10x + -18x = -28x vx = x(45 + -28x + 4x2) vx = (45 * x + -28x * x + 4x2 * x) vx = (45x + -28x2 + 4x3) Solving vx = 45x + -28x2 + 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 = 45 + -28x + 4x2 Simplifying v = 45 + -28x + 4x2
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