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Simplifying v(x) = (15 + -2x) * x(8 + -2x) Multiply v * x vx = (15 + -2x) * x(8 + -2x) Reorder the terms for easier multiplication: vx = x(15 + -2x)(8 + -2x) Multiply (15 + -2x) * (8 + -2x) vx = x(15(8 + -2x) + -2x * (8 + -2x)) vx = x((8 * 15 + -2x * 15) + -2x * (8 + -2x)) vx = x((120 + -30x) + -2x * (8 + -2x)) vx = x(120 + -30x + (8 * -2x + -2x * -2x)) vx = x(120 + -30x + (-16x + 4x2)) Combine like terms: -30x + -16x = -46x vx = x(120 + -46x + 4x2) vx = (120 * x + -46x * x + 4x2 * x) vx = (120x + -46x2 + 4x3) Solving vx = 120x + -46x2 + 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 = 120 + -46x + 4x2 Simplifying v = 120 + -46x + 4x2
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