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Simplifying 5xy + -40x + -15y + 120 = 0 Reorder the terms: 120 + -40x + 5xy + -15y = 0 Solving 120 + -40x + 5xy + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -40x + 5xy + -120 + -15y = 0 + -120 Reorder the terms: 120 + -120 + -40x + 5xy + -15y = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -40x + 5xy + -15y = 0 + -120 -40x + 5xy + -15y = 0 + -120 Combine like terms: 0 + -120 = -120 -40x + 5xy + -15y = -120 Add '15y' to each side of the equation. -40x + 5xy + -15y + 15y = -120 + 15y Combine like terms: -15y + 15y = 0 -40x + 5xy + 0 = -120 + 15y -40x + 5xy = -120 + 15y Reorder the terms: 120 + -40x + 5xy + -15y = -120 + 15y + 120 + -15y Reorder the terms: 120 + -40x + 5xy + -15y = -120 + 120 + 15y + -15y Combine like terms: -120 + 120 = 0 120 + -40x + 5xy + -15y = 0 + 15y + -15y 120 + -40x + 5xy + -15y = 15y + -15y Combine like terms: 15y + -15y = 0 120 + -40x + 5xy + -15y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(24 + -8x + xy + -3y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(24 + -8x + xy + -3y)' equal to zero and attempt to solve: Simplifying 24 + -8x + xy + -3y = 0 Solving 24 + -8x + xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -8x + xy + -24 + -3y = 0 + -24 Reorder the terms: 24 + -24 + -8x + xy + -3y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8x + xy + -3y = 0 + -24 -8x + xy + -3y = 0 + -24 Combine like terms: 0 + -24 = -24 -8x + xy + -3y = -24 Add '3y' to each side of the equation. -8x + xy + -3y + 3y = -24 + 3y Combine like terms: -3y + 3y = 0 -8x + xy + 0 = -24 + 3y -8x + xy = -24 + 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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