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Simplifying v(x) = x(15 + -2x)(21 + -2x) Multiply v * x vx = x(15 + -2x)(21 + -2x) Multiply (15 + -2x) * (21 + -2x) vx = x(15(21 + -2x) + -2x * (21 + -2x)) vx = x((21 * 15 + -2x * 15) + -2x * (21 + -2x)) vx = x((315 + -30x) + -2x * (21 + -2x)) vx = x(315 + -30x + (21 * -2x + -2x * -2x)) vx = x(315 + -30x + (-42x + 4x2)) Combine like terms: -30x + -42x = -72x vx = x(315 + -72x + 4x2) vx = (315 * x + -72x * x + 4x2 * x) vx = (315x + -72x2 + 4x3) Solving vx = 315x + -72x2 + 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 = 315 + -72x + 4x2 Simplifying v = 315 + -72x + 4x2
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