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Simplifying (x + 1)(y + -5) + (2x + -1)(y + 1) = 0 Reorder the terms: (1 + x)(y + -5) + (2x + -1)(y + 1) = 0 Reorder the terms: (1 + x)(-5 + y) + (2x + -1)(y + 1) = 0 Multiply (1 + x) * (-5 + y) (1(-5 + y) + x(-5 + y)) + (2x + -1)(y + 1) = 0 ((-5 * 1 + y * 1) + x(-5 + y)) + (2x + -1)(y + 1) = 0 ((-5 + 1y) + x(-5 + y)) + (2x + -1)(y + 1) = 0 (-5 + 1y + (-5 * x + y * x)) + (2x + -1)(y + 1) = 0 (-5 + 1y + (-5x + xy)) + (2x + -1)(y + 1) = 0 Reorder the terms: (-5 + -5x + xy + 1y) + (2x + -1)(y + 1) = 0 (-5 + -5x + xy + 1y) + (2x + -1)(y + 1) = 0 Reorder the terms: -5 + -5x + xy + 1y + (-1 + 2x)(y + 1) = 0 Reorder the terms: -5 + -5x + xy + 1y + (-1 + 2x)(1 + y) = 0 Multiply (-1 + 2x) * (1 + y) -5 + -5x + xy + 1y + (-1(1 + y) + 2x * (1 + y)) = 0 -5 + -5x + xy + 1y + ((1 * -1 + y * -1) + 2x * (1 + y)) = 0 -5 + -5x + xy + 1y + ((-1 + -1y) + 2x * (1 + y)) = 0 -5 + -5x + xy + 1y + (-1 + -1y + (1 * 2x + y * 2x)) = 0 -5 + -5x + xy + 1y + (-1 + -1y + (2x + 2xy)) = 0 Reorder the terms: -5 + -5x + xy + 1y + (-1 + 2x + 2xy + -1y) = 0 -5 + -5x + xy + 1y + (-1 + 2x + 2xy + -1y) = 0 Reorder the terms: -5 + -1 + -5x + 2x + xy + 2xy + 1y + -1y = 0 Combine like terms: -5 + -1 = -6 -6 + -5x + 2x + xy + 2xy + 1y + -1y = 0 Combine like terms: -5x + 2x = -3x -6 + -3x + xy + 2xy + 1y + -1y = 0 Combine like terms: xy + 2xy = 3xy -6 + -3x + 3xy + 1y + -1y = 0 Combine like terms: 1y + -1y = 0 -6 + -3x + 3xy + 0 = 0 -6 + -3x + 3xy = 0 Solving -6 + -3x + 3xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3x + 6 + 3xy = 0 + 6 Reorder the terms: -6 + 6 + -3x + 3xy = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3x + 3xy = 0 + 6 -3x + 3xy = 0 + 6 Combine like terms: 0 + 6 = 6 -3x + 3xy = 6 Reorder the terms: -6 + -3x + 3xy = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -3x + 3xy = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -1x + xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1x + xy)' equal to zero and attempt to solve: Simplifying -2 + -1x + xy = 0 Solving -2 + -1x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1x + 2 + xy = 0 + 2 Reorder the terms: -2 + 2 + -1x + xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x + xy = 0 + 2 -1x + xy = 0 + 2 Combine like terms: 0 + 2 = 2 -1x + xy = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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