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Simplifying (x + 1y)(x + y) = 0 Multiply (x + 1y) * (x + y) (x(x + y) + 1y * (x + y)) = 0 ((x * x + y * x) + 1y * (x + y)) = 0 Reorder the terms: ((xy + x2) + 1y * (x + y)) = 0 ((xy + x2) + 1y * (x + y)) = 0 (xy + x2 + (x * 1y + y * 1y)) = 0 (xy + x2 + (1xy + 1y2)) = 0 Reorder the terms: (xy + 1xy + x2 + 1y2) = 0 Combine like terms: xy + 1xy = 2xy (2xy + x2 + 1y2) = 0 Solving 2xy + x2 + 1y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + y)(x + y) = 0Subproblem 1
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySubproblem 2
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {-1y, -1y}
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