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Simplifying 10X2Y + -15XY2 + 25XY = 0 Reorder the terms: 25XY + -15XY2 + 10X2Y = 0 Solving 25XY + -15XY2 + 10X2Y = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '5XY'. 5XY(5 + -3Y + 2X) = 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 + -3Y + 2X)' equal to zero and attempt to solve: Simplifying 5 + -3Y + 2X = 0 Reorder the terms: 5 + 2X + -3Y = 0 Solving 5 + 2X + -3Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2X + -5 + -3Y = 0 + -5 Reorder the terms: 5 + -5 + 2X + -3Y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2X + -3Y = 0 + -5 2X + -3Y = 0 + -5 Combine like terms: 0 + -5 = -5 2X + -3Y = -5 Add '3Y' to each side of the equation. 2X + -3Y + 3Y = -5 + 3Y Combine like terms: -3Y + 3Y = 0 2X + 0 = -5 + 3Y 2X = -5 + 3Y Divide each side by '2'. X = -2.5 + 1.5Y Simplifying X = -2.5 + 1.5YSolution
X = {-2.5 + 1.5Y}
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