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Simplifying -12 + -1x2y2 + -8xy = 0 Reorder the terms: -12 + -8xy + -1x2y2 = 0 Solving -12 + -8xy + -1x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 8xy + x2y2) = 0 Factor a trinomial. -1((6 + xy)(2 + xy)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + xy)' equal to zero and attempt to solve: Simplifying 6 + xy = 0 Solving 6 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + xy = 0 + -6 Combine like terms: 6 + -6 = 0 0 + xy = 0 + -6 xy = 0 + -6 Combine like terms: 0 + -6 = -6 xy = -6 Divide each side by 'y'. x = -6y-1 Simplifying x = -6y-1Subproblem 2
Set the factor '(2 + xy)' equal to zero and attempt to solve: Simplifying 2 + xy = 0 Solving 2 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy = 0 + -2 xy = 0 + -2 Combine like terms: 0 + -2 = -2 xy = -2 Divide each side by 'y'. x = -2y-1 Simplifying x = -2y-1Solution
x = {-6y-1, -2y-1}
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