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Simplifying 10xy2 + -5x2y + 3y2x = 0 Reorder the terms: 10xy2 + 3xy2 + -5x2y = 0 Combine like terms: 10xy2 + 3xy2 = 13xy2 13xy2 + -5x2y = 0 Solving 13xy2 + -5x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(13y + -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 '(13y + -5x)' equal to zero and attempt to solve: Simplifying 13y + -5x = 0 Reorder the terms: -5x + 13y = 0 Solving -5x + 13y = 0 Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. -5x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 -5x + 0 = 0 + -13y -5x = 0 + -13y Remove the zero: -5x = -13y Divide each side by '-5'. x = 2.6y Simplifying x = 2.6ySolution
x = {2.6y}
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