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Simplifying x2 + 2xy + y2 = 4xy Reorder the terms: 2xy + x2 + y2 = 4xy Solving 2xy + x2 + y2 = 4xy Solving for variable 'x'. Reorder the terms: 2xy + -4xy + x2 + y2 = 4xy + -4xy Combine like terms: 2xy + -4xy = -2xy -2xy + x2 + y2 = 4xy + -4xy Combine like terms: 4xy + -4xy = 0 -2xy + x2 + y2 = 0 Factor a trinomial. (x + -1y)(x + -1y) = 0Subproblem 1
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySubproblem 2
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySolution
x = {y, y}
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