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Simplifying (xy + -5)(xy + -5) = 0 Reorder the terms: (-5 + xy)(xy + -5) = 0 Reorder the terms: (-5 + xy)(-5 + xy) = 0 Multiply (-5 + xy) * (-5 + xy) (-5(-5 + xy) + xy(-5 + xy)) = 0 ((-5 * -5 + xy * -5) + xy(-5 + xy)) = 0 ((25 + -5xy) + xy(-5 + xy)) = 0 (25 + -5xy + (-5 * xy + xy * xy)) = 0 (25 + -5xy + (-5xy + x2y2)) = 0 Combine like terms: -5xy + -5xy = -10xy (25 + -10xy + x2y2) = 0 Solving 25 + -10xy + x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1xy)(5 + -1xy) = 0Subproblem 1
Set the factor '(5 + -1xy)' equal to zero and attempt to solve: Simplifying 5 + -1xy = 0 Solving 5 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1xy = 0 + -5 -1xy = 0 + -5 Combine like terms: 0 + -5 = -5 -1xy = -5 Divide each side by '-1y'. x = 5y-1 Simplifying x = 5y-1Subproblem 2
Set the factor '(5 + -1xy)' equal to zero and attempt to solve: Simplifying 5 + -1xy = 0 Solving 5 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1xy = 0 + -5 -1xy = 0 + -5 Combine like terms: 0 + -5 = -5 -1xy = -5 Divide each side by '-1y'. x = 5y-1 Simplifying x = 5y-1Solution
x = {5y-1, 5y-1}
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