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Simplifying y(x) = (18 + -0.5x)(5x + 20) Multiply y * x xy = (18 + -0.5x)(5x + 20) Reorder the terms: xy = (18 + -0.5x)(20 + 5x) Multiply (18 + -0.5x) * (20 + 5x) xy = (18(20 + 5x) + -0.5x * (20 + 5x)) xy = ((20 * 18 + 5x * 18) + -0.5x * (20 + 5x)) xy = ((360 + 90x) + -0.5x * (20 + 5x)) xy = (360 + 90x + (20 * -0.5x + 5x * -0.5x)) xy = (360 + 90x + (-10x + -2.5x2)) Combine like terms: 90x + -10x = 80x xy = (360 + 80x + -2.5x2) Solving xy = 360 + 80x + -2.5x2 Solving for variable 'x'. Reorder the terms: -360 + -80x + xy + 2.5x2 = 360 + 80x + -2.5x2 + -360 + -80x + 2.5x2 Reorder the terms: -360 + -80x + xy + 2.5x2 = 360 + -360 + 80x + -80x + -2.5x2 + 2.5x2 Combine like terms: 360 + -360 = 0 -360 + -80x + xy + 2.5x2 = 0 + 80x + -80x + -2.5x2 + 2.5x2 -360 + -80x + xy + 2.5x2 = 80x + -80x + -2.5x2 + 2.5x2 Combine like terms: 80x + -80x = 0 -360 + -80x + xy + 2.5x2 = 0 + -2.5x2 + 2.5x2 -360 + -80x + xy + 2.5x2 = -2.5x2 + 2.5x2 Combine like terms: -2.5x2 + 2.5x2 = 0.0 -360 + -80x + xy + 2.5x2 = 0.0 The solution to this equation could not be determined.
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