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Simplifying 15x2y + -25xy + 10xy2 = 0 Reorder the terms: -25xy + 10xy2 + 15x2y = 0 Solving -25xy + 10xy2 + 15x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5xy'. 5xy(-5 + 2y + 3x) = 0 Ignore the factor 5.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 '(-5 + 2y + 3x)' equal to zero and attempt to solve: Simplifying -5 + 2y + 3x = 0 Reorder the terms: -5 + 3x + 2y = 0 Solving -5 + 3x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3x + 5 + 2y = 0 + 5 Reorder the terms: -5 + 5 + 3x + 2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x + 2y = 0 + 5 3x + 2y = 0 + 5 Combine like terms: 0 + 5 = 5 3x + 2y = 5 Add '-2y' to each side of the equation. 3x + 2y + -2y = 5 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 5 + -2y 3x = 5 + -2y Divide each side by '3'. x = 1.666666667 + -0.6666666667y Simplifying x = 1.666666667 + -0.6666666667ySolution
x = {1.666666667 + -0.6666666667y}
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