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Simplifying (2 + y)(-1x + -1y) = 0 Multiply (2 + y) * (-1x + -1y) (2(-1x + -1y) + y(-1x + -1y)) = 0 ((-1x * 2 + -1y * 2) + y(-1x + -1y)) = 0 ((-2x + -2y) + y(-1x + -1y)) = 0 (-2x + -2y + (-1x * y + -1y * y)) = 0 (-2x + -2y + (-1xy + -1y2)) = 0 Reorder the terms: (-2x + -1xy + -2y + -1y2) = 0 (-2x + -1xy + -2y + -1y2) = 0 Solving -2x + -1xy + -2y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -2x + -1xy + -2y + 2y + -1y2 = 0 + 2y Combine like terms: -2y + 2y = 0 -2x + -1xy + 0 + -1y2 = 0 + 2y -2x + -1xy + -1y2 = 0 + 2y Remove the zero: -2x + -1xy + -1y2 = 2y Add 'y2' to each side of the equation. -2x + -1xy + -1y2 + y2 = 2y + y2 Combine like terms: -1y2 + y2 = 0 -2x + -1xy + 0 = 2y + y2 -2x + -1xy = 2y + y2 Reorder the terms: -2x + -1xy + -2y + -1y2 = 2y + -2y + y2 + -1y2 Combine like terms: 2y + -2y = 0 -2x + -1xy + -2y + -1y2 = 0 + y2 + -1y2 -2x + -1xy + -2y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -2x + -1xy + -2y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2x + xy + 2y + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2x + xy + 2y + y2)' equal to zero and attempt to solve: Simplifying 2x + xy + 2y + y2 = 0 Solving 2x + xy + 2y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 2x + xy + 2y + -2y + y2 = 0 + -2y Combine like terms: 2y + -2y = 0 2x + xy + 0 + y2 = 0 + -2y 2x + xy + y2 = 0 + -2y Remove the zero: 2x + xy + y2 = -2y Add '-1y2' to each side of the equation. 2x + xy + y2 + -1y2 = -2y + -1y2 Combine like terms: y2 + -1y2 = 0 2x + xy + 0 = -2y + -1y2 2x + xy = -2y + -1y2 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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