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Simplifying x2y + -3xy2 + -6x2y = 0 Reorder the terms: -3xy2 + x2y + -6x2y = 0 Combine like terms: x2y + -6x2y = -5x2y -3xy2 + -5x2y = 0 Solving -3xy2 + -5x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1xy'. -1xy(3y + 5x) = 0 Ignore the factor -1.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 '(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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