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Simplifying (x + -1y)(x + y) * 1 + 2 + 3 + 4 + 5(2x + 2xy) = 0 Reorder the terms for easier multiplication: 1(x + -1y)(x + y) + 2 + 3 + 4 + 5(2x + 2xy) = 0 Multiply (x + -1y) * (x + y) 1(x(x + y) + -1y * (x + y)) + 2 + 3 + 4 + 5(2x + 2xy) = 0 1((x * x + y * x) + -1y * (x + y)) + 2 + 3 + 4 + 5(2x + 2xy) = 0 Reorder the terms: 1((xy + x2) + -1y * (x + y)) + 2 + 3 + 4 + 5(2x + 2xy) = 0 1((xy + x2) + -1y * (x + y)) + 2 + 3 + 4 + 5(2x + 2xy) = 0 1(xy + x2 + (x * -1y + y * -1y)) + 2 + 3 + 4 + 5(2x + 2xy) = 0 1(xy + x2 + (-1xy + -1y2)) + 2 + 3 + 4 + 5(2x + 2xy) = 0 Reorder the terms: 1(xy + -1xy + x2 + -1y2) + 2 + 3 + 4 + 5(2x + 2xy) = 0 Combine like terms: xy + -1xy = 0 1(0 + x2 + -1y2) + 2 + 3 + 4 + 5(2x + 2xy) = 0 1(x2 + -1y2) + 2 + 3 + 4 + 5(2x + 2xy) = 0 (x2 * 1 + -1y2 * 1) + 2 + 3 + 4 + 5(2x + 2xy) = 0 (1x2 + -1y2) + 2 + 3 + 4 + 5(2x + 2xy) = 0 1x2 + -1y2 + 2 + 3 + 4 + (2x * 5 + 2xy * 5) = 0 1x2 + -1y2 + 2 + 3 + 4 + (10x + 10xy) = 0 Reorder the terms: 2 + 3 + 4 + 10x + 10xy + 1x2 + -1y2 = 0 Combine like terms: 2 + 3 = 5 5 + 4 + 10x + 10xy + 1x2 + -1y2 = 0 Combine like terms: 5 + 4 = 9 9 + 10x + 10xy + 1x2 + -1y2 = 0 Solving 9 + 10x + 10xy + 1x2 + -1y2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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