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Simplifying x2y2 + 21xy + 108 = 0 Reorder the terms: 108 + 21xy + x2y2 = 0 Solving 108 + 21xy + x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + xy)(9 + xy) = 0Subproblem 1
Set the factor '(12 + xy)' equal to zero and attempt to solve: Simplifying 12 + xy = 0 Solving 12 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + xy = 0 + -12 Combine like terms: 12 + -12 = 0 0 + xy = 0 + -12 xy = 0 + -12 Combine like terms: 0 + -12 = -12 xy = -12 Divide each side by 'y'. x = -12y-1 Simplifying x = -12y-1Subproblem 2
Set the factor '(9 + xy)' equal to zero and attempt to solve: Simplifying 9 + xy = 0 Solving 9 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + xy = 0 + -9 Combine like terms: 9 + -9 = 0 0 + xy = 0 + -9 xy = 0 + -9 Combine like terms: 0 + -9 = -9 xy = -9 Divide each side by 'y'. x = -9y-1 Simplifying x = -9y-1Solution
x = {-12y-1, -9y-1}
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