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Simplifying R(x) = (400 + 20x)(40 + -1x) Multiply R * x xR = (400 + 20x)(40 + -1x) Multiply (400 + 20x) * (40 + -1x) xR = (400(40 + -1x) + 20x * (40 + -1x)) xR = ((40 * 400 + -1x * 400) + 20x * (40 + -1x)) xR = ((16000 + -400x) + 20x * (40 + -1x)) xR = (16000 + -400x + (40 * 20x + -1x * 20x)) xR = (16000 + -400x + (800x + -20x2)) Combine like terms: -400x + 800x = 400x xR = (16000 + 400x + -20x2) Solving xR = 16000 + 400x + -20x2 Solving for variable 'x'. Reorder the terms: -16000 + -400x + xR + 20x2 = 16000 + 400x + -20x2 + -16000 + -400x + 20x2 Reorder the terms: -16000 + -400x + xR + 20x2 = 16000 + -16000 + 400x + -400x + -20x2 + 20x2 Combine like terms: 16000 + -16000 = 0 -16000 + -400x + xR + 20x2 = 0 + 400x + -400x + -20x2 + 20x2 -16000 + -400x + xR + 20x2 = 400x + -400x + -20x2 + 20x2 Combine like terms: 400x + -400x = 0 -16000 + -400x + xR + 20x2 = 0 + -20x2 + 20x2 -16000 + -400x + xR + 20x2 = -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 -16000 + -400x + xR + 20x2 = 0 The solution to this equation could not be determined.
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