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Simplifying 7x2y2 + -3xy + 4x2y2 + -8xy = 0 Reorder the terms: -3xy + -8xy + 7x2y2 + 4x2y2 = 0 Combine like terms: -3xy + -8xy = -11xy -11xy + 7x2y2 + 4x2y2 = 0 Combine like terms: 7x2y2 + 4x2y2 = 11x2y2 -11xy + 11x2y2 = 0 Solving -11xy + 11x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '11xy'. 11xy(-1 + xy) = 0 Ignore the factor 11.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = y-1 Simplifying x = y-1Solution
x = {y-1}
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