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Simplifying v(x) = (12 + -2x)(16 + -2x)(x) Multiply v * x vx = (12 + -2x)(16 + -2x)(x) Reorder the terms for easier multiplication: vx = x(12 + -2x)(16 + -2x) Multiply (12 + -2x) * (16 + -2x) vx = x(12(16 + -2x) + -2x * (16 + -2x)) vx = x((16 * 12 + -2x * 12) + -2x * (16 + -2x)) vx = x((192 + -24x) + -2x * (16 + -2x)) vx = x(192 + -24x + (16 * -2x + -2x * -2x)) vx = x(192 + -24x + (-32x + 4x2)) Combine like terms: -24x + -32x = -56x vx = x(192 + -56x + 4x2) vx = (192 * x + -56x * x + 4x2 * x) vx = (192x + -56x2 + 4x3) Solving vx = 192x + -56x2 + 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 = 192 + -56x + 4x2 Simplifying v = 192 + -56x + 4x2
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