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Simplifying 5x2y + -3xy2 + 6x2y + -3xy2 = 0 Reorder the terms: -3xy2 + -3xy2 + 5x2y + 6x2y = 0 Combine like terms: -3xy2 + -3xy2 = -6xy2 -6xy2 + 5x2y + 6x2y = 0 Combine like terms: 5x2y + 6x2y = 11x2y -6xy2 + 11x2y = 0 Solving -6xy2 + 11x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-6y + 11x) = 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 '(-6y + 11x)' equal to zero and attempt to solve: Simplifying -6y + 11x = 0 Reorder the terms: 11x + -6y = 0 Solving 11x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 11x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 11x + 0 = 0 + 6y 11x = 0 + 6y Remove the zero: 11x = 6y Divide each side by '11'. x = 0.5454545455y Simplifying x = 0.5454545455ySolution
x = {0.5454545455y}
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