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Simplifying 30x2y + -20x2y2 + 10x3y2 = 0 Solving 30x2y + -20x2y2 + 10x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x2y'. 10x2y(3 + -2y + xy) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 + -2y + xy)' equal to zero and attempt to solve: Simplifying 3 + -2y + xy = 0 Reorder the terms: 3 + xy + -2y = 0 Solving 3 + xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + xy + -3 + -2y = 0 + -3 Reorder the terms: 3 + -3 + xy + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + xy + -2y = 0 + -3 xy + -2y = 0 + -3 Combine like terms: 0 + -3 = -3 xy + -2y = -3 Add '2y' to each side of the equation. xy + -2y + 2y = -3 + 2y Combine like terms: -2y + 2y = 0 xy + 0 = -3 + 2y xy = -3 + 2y Divide each side by 'y'. x = -3y-1 + 2 Simplifying x = -3y-1 + 2 Reorder the terms: x = 2 + -3y-1Solution
x = {2 + -3y-1}
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