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Simplifying 6xy + 3x2y + xy + 6x2y + 10xy = 0 Reorder the terms: 6xy + xy + 10xy + 3x2y + 6x2y = 0 Combine like terms: 6xy + xy = 7xy 7xy + 10xy + 3x2y + 6x2y = 0 Combine like terms: 7xy + 10xy = 17xy 17xy + 3x2y + 6x2y = 0 Combine like terms: 3x2y + 6x2y = 9x2y 17xy + 9x2y = 0 Solving 17xy + 9x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(17 + 9x) = 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 + 9x)' equal to zero and attempt to solve: Simplifying 17 + 9x = 0 Solving 17 + 9x = 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 + 9x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 0 + -17 9x = 0 + -17 Combine like terms: 0 + -17 = -17 9x = -17 Divide each side by '9'. x = -1.888888889 Simplifying x = -1.888888889Solution
x = {-1.888888889}
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