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Simplifying R(x) = (400 + 20x)(90 + -1x) Multiply R * x xR = (400 + 20x)(90 + -1x) Multiply (400 + 20x) * (90 + -1x) xR = (400(90 + -1x) + 20x * (90 + -1x)) xR = ((90 * 400 + -1x * 400) + 20x * (90 + -1x)) xR = ((36000 + -400x) + 20x * (90 + -1x)) xR = (36000 + -400x + (90 * 20x + -1x * 20x)) xR = (36000 + -400x + (1800x + -20x2)) Combine like terms: -400x + 1800x = 1400x xR = (36000 + 1400x + -20x2) Solving xR = 36000 + 1400x + -20x2 Solving for variable 'x'. Reorder the terms: -36000 + -1400x + xR + 20x2 = 36000 + 1400x + -20x2 + -36000 + -1400x + 20x2 Reorder the terms: -36000 + -1400x + xR + 20x2 = 36000 + -36000 + 1400x + -1400x + -20x2 + 20x2 Combine like terms: 36000 + -36000 = 0 -36000 + -1400x + xR + 20x2 = 0 + 1400x + -1400x + -20x2 + 20x2 -36000 + -1400x + xR + 20x2 = 1400x + -1400x + -20x2 + 20x2 Combine like terms: 1400x + -1400x = 0 -36000 + -1400x + xR + 20x2 = 0 + -20x2 + 20x2 -36000 + -1400x + xR + 20x2 = -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 -36000 + -1400x + xR + 20x2 = 0 The solution to this equation could not be determined.
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