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Simplifying 6x2y + -9xy2 + xy2 + 4x2y = 0 Reorder the terms: -9xy2 + xy2 + 6x2y + 4x2y = 0 Combine like terms: -9xy2 + xy2 = -8xy2 -8xy2 + 6x2y + 4x2y = 0 Combine like terms: 6x2y + 4x2y = 10x2y -8xy2 + 10x2y = 0 Solving -8xy2 + 10x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-4y + 5x) = 0 Ignore the factor 2.Subproblem 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 '(-4y + 5x)' equal to zero and attempt to solve: Simplifying -4y + 5x = 0 Reorder the terms: 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8ySolution
x = {0.8y}
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