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Simplifying 10xy3 + -25x2y2 + 15xy = 0 Reorder the terms: 15xy + 10xy3 + -25x2y2 = 0 Solving 15xy + 10xy3 + -25x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5xy'. 5xy(3 + 2y2 + -5xy) = 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 '(3 + 2y2 + -5xy)' equal to zero and attempt to solve: Simplifying 3 + 2y2 + -5xy = 0 Reorder the terms: 3 + -5xy + 2y2 = 0 Solving 3 + -5xy + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -5xy + -3 + 2y2 = 0 + -3 Reorder the terms: 3 + -3 + -5xy + 2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5xy + 2y2 = 0 + -3 -5xy + 2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -5xy + 2y2 = -3 Add '-2y2' to each side of the equation. -5xy + 2y2 + -2y2 = -3 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -5xy + 0 = -3 + -2y2 -5xy = -3 + -2y2 Divide each side by '-5y'. x = 0.6y-1 + 0.4y Simplifying x = 0.6y-1 + 0.4ySolution
x = {0.6y-1 + 0.4y}
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