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Simplifying (x + -2y)(2x + -1y) = (x + -1y) * 2 Multiply (x + -2y) * (2x + -1y) (x(2x + -1y) + -2y * (2x + -1y)) = (x + -1y) * 2 ((2x * x + -1y * x) + -2y * (2x + -1y)) = (x + -1y) * 2 Reorder the terms: ((-1xy + 2x2) + -2y * (2x + -1y)) = (x + -1y) * 2 ((-1xy + 2x2) + -2y * (2x + -1y)) = (x + -1y) * 2 (-1xy + 2x2 + (2x * -2y + -1y * -2y)) = (x + -1y) * 2 (-1xy + 2x2 + (-4xy + 2y2)) = (x + -1y) * 2 Reorder the terms: (-1xy + -4xy + 2x2 + 2y2) = (x + -1y) * 2 Combine like terms: -1xy + -4xy = -5xy (-5xy + 2x2 + 2y2) = (x + -1y) * 2 Reorder the terms for easier multiplication: -5xy + 2x2 + 2y2 = 2(x + -1y) -5xy + 2x2 + 2y2 = (x * 2 + -1y * 2) -5xy + 2x2 + 2y2 = (2x + -2y) Solving -5xy + 2x2 + 2y2 = 2x + -2y Solving for variable 'x'. Reorder the terms: -2x + -5xy + 2x2 + 2y + 2y2 = 2x + -2y + -2x + 2y Reorder the terms: -2x + -5xy + 2x2 + 2y + 2y2 = 2x + -2x + -2y + 2y Combine like terms: 2x + -2x = 0 -2x + -5xy + 2x2 + 2y + 2y2 = 0 + -2y + 2y -2x + -5xy + 2x2 + 2y + 2y2 = -2y + 2y Combine like terms: -2y + 2y = 0 -2x + -5xy + 2x2 + 2y + 2y2 = 0 The solution to this equation could not be determined.
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