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Simplifying 10x + 15y + 25xy = 0 Reorder the terms: 10x + 25xy + 15y = 0 Solving 10x + 25xy + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 10x + 25xy + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 10x + 25xy + 0 = 0 + -15y 10x + 25xy = 0 + -15y Remove the zero: 10x + 25xy = -15y Combine like terms: -15y + 15y = 0 10x + 25xy + 15y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(2x + 5xy + 3y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2x + 5xy + 3y)' equal to zero and attempt to solve: Simplifying 2x + 5xy + 3y = 0 Solving 2x + 5xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 5xy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 5xy + 0 = 0 + -3y 2x + 5xy = 0 + -3y Remove the zero: 2x + 5xy = -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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