(11+-1xy)(11+-1xy)=0

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Solution for (11+-1xy)(11+-1xy)=0 equation:


Simplifying
(11 + -1xy)(11 + -1xy) = 0

Multiply (11 + -1xy) * (11 + -1xy)
(11(11 + -1xy) + -1xy * (11 + -1xy)) = 0
((11 * 11 + -1xy * 11) + -1xy * (11 + -1xy)) = 0
((121 + -11xy) + -1xy * (11 + -1xy)) = 0
(121 + -11xy + (11 * -1xy + -1xy * -1xy)) = 0
(121 + -11xy + (-11xy + 1x2y2)) = 0

Combine like terms: -11xy + -11xy = -22xy
(121 + -22xy + 1x2y2) = 0

Solving
121 + -22xy + 1x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -1xy)(11 + -1xy) = 0

Subproblem 1

Set the factor '(11 + -1xy)' equal to zero and attempt to solve: Simplifying 11 + -1xy = 0 Solving 11 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1xy = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1xy = 0 + -11 -1xy = 0 + -11 Combine like terms: 0 + -11 = -11 -1xy = -11 Divide each side by '-1y'. x = 11y-1 Simplifying x = 11y-1

Subproblem 2

Set the factor '(11 + -1xy)' equal to zero and attempt to solve: Simplifying 11 + -1xy = 0 Solving 11 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1xy = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1xy = 0 + -11 -1xy = 0 + -11 Combine like terms: 0 + -11 = -11 -1xy = -11 Divide each side by '-1y'. x = 11y-1 Simplifying x = 11y-1

Solution

x = {11y-1, 11y-1}

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