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Simplifying 2x2y + -1xy2 + 3yx2 + -2y2x = 0 Reorder the terms: -1xy2 + -2xy2 + 2x2y + 3x2y = 0 Combine like terms: -1xy2 + -2xy2 = -3xy2 -3xy2 + 2x2y + 3x2y = 0 Combine like terms: 2x2y + 3x2y = 5x2y -3xy2 + 5x2y = 0 Solving -3xy2 + 5x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-3y + 5x) = 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 '(-3y + 5x)' equal to zero and attempt to solve: Simplifying -3y + 5x = 0 Reorder the terms: 5x + -3y = 0 Solving 5x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 5x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 = 0 + 3y 5x = 0 + 3y Remove the zero: 5x = 3y Divide each side by '5'. x = 0.6y Simplifying x = 0.6ySolution
x = {0.6y}
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