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Simplifying 4xy + 7xy + 6x2y + 3xy2 = 0 Reorder the terms: 4xy + 7xy + 3xy2 + 6x2y = 0 Combine like terms: 4xy + 7xy = 11xy 11xy + 3xy2 + 6x2y = 0 Solving 11xy + 3xy2 + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(11 + 3y + 6x) = 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 '(11 + 3y + 6x)' equal to zero and attempt to solve: Simplifying 11 + 3y + 6x = 0 Reorder the terms: 11 + 6x + 3y = 0 Solving 11 + 6x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 6x + -11 + 3y = 0 + -11 Reorder the terms: 11 + -11 + 6x + 3y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6x + 3y = 0 + -11 6x + 3y = 0 + -11 Combine like terms: 0 + -11 = -11 6x + 3y = -11 Add '-3y' to each side of the equation. 6x + 3y + -3y = -11 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = -11 + -3y 6x = -11 + -3y Divide each side by '6'. x = -1.833333333 + -0.5y Simplifying x = -1.833333333 + -0.5ySolution
x = {-1.833333333 + -0.5y}
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