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Simplifying 10xy + 4x2y2 + 7xy + -10x2y2 = 0 Reorder the terms: 10xy + 7xy + 4x2y2 + -10x2y2 = 0 Combine like terms: 10xy + 7xy = 17xy 17xy + 4x2y2 + -10x2y2 = 0 Combine like terms: 4x2y2 + -10x2y2 = -6x2y2 17xy + -6x2y2 = 0 Solving 17xy + -6x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(17 + -6xy) = 0Subproblem 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 '(17 + -6xy)' equal to zero and attempt to solve: Simplifying 17 + -6xy = 0 Solving 17 + -6xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6xy = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6xy = 0 + -17 -6xy = 0 + -17 Combine like terms: 0 + -17 = -17 -6xy = -17 Divide each side by '-6y'. x = 2.833333333y-1 Simplifying x = 2.833333333y-1Solution
x = {2.833333333y-1}
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