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Simplifying x2y2 + 4xy = -3 Reorder the terms: 4xy + x2y2 = -3 Solving 4xy + x2y2 = -3 Solving for variable 'x'. Reorder the terms: 3 + 4xy + x2y2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 4xy + x2y2 = 0 Factor a trinomial. (3 + xy)(1 + xy) = 0Subproblem 1
Set the factor '(3 + xy)' equal to zero and attempt to solve: Simplifying 3 + xy = 0 Solving 3 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + xy = 0 + -3 xy = 0 + -3 Combine like terms: 0 + -3 = -3 xy = -3 Divide each side by 'y'. x = -3y-1 Simplifying x = -3y-1Subproblem 2
Set the factor '(1 + xy)' equal to zero and attempt to solve: Simplifying 1 + xy = 0 Solving 1 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy = 0 + -1 xy = 0 + -1 Combine like terms: 0 + -1 = -1 xy = -1 Divide each side by 'y'. x = -1y-1 Simplifying x = -1y-1Solution
x = {-3y-1, -1y-1}
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