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Simplifying 9x2y + 2xy2 + -5xy2 + -5xy = 0 Reorder the terms: -5xy + 2xy2 + -5xy2 + 9x2y = 0 Combine like terms: 2xy2 + -5xy2 = -3xy2 -5xy + -3xy2 + 9x2y = 0 Solving -5xy + -3xy2 + 9x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-5 + -3y + 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 '(-5 + -3y + 9x)' equal to zero and attempt to solve: Simplifying -5 + -3y + 9x = 0 Reorder the terms: -5 + 9x + -3y = 0 Solving -5 + 9x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 9x + 5 + -3y = 0 + 5 Reorder the terms: -5 + 5 + 9x + -3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9x + -3y = 0 + 5 9x + -3y = 0 + 5 Combine like terms: 0 + 5 = 5 9x + -3y = 5 Add '3y' to each side of the equation. 9x + -3y + 3y = 5 + 3y Combine like terms: -3y + 3y = 0 9x + 0 = 5 + 3y 9x = 5 + 3y Divide each side by '9'. x = 0.5555555556 + 0.3333333333y Simplifying x = 0.5555555556 + 0.3333333333ySolution
x = {0.5555555556 + 0.3333333333y}
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