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Simplifying 80xy + 128x + 120y + 192 = 0 Reorder the terms: 192 + 128x + 80xy + 120y = 0 Solving 192 + 128x + 80xy + 120y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + 128x + 80xy + -192 + 120y = 0 + -192 Reorder the terms: 192 + -192 + 128x + 80xy + 120y = 0 + -192 Combine like terms: 192 + -192 = 0 0 + 128x + 80xy + 120y = 0 + -192 128x + 80xy + 120y = 0 + -192 Combine like terms: 0 + -192 = -192 128x + 80xy + 120y = -192 Add '-120y' to each side of the equation. 128x + 80xy + 120y + -120y = -192 + -120y Combine like terms: 120y + -120y = 0 128x + 80xy + 0 = -192 + -120y 128x + 80xy = -192 + -120y Reorder the terms: 192 + 128x + 80xy + 120y = -192 + -120y + 192 + 120y Reorder the terms: 192 + 128x + 80xy + 120y = -192 + 192 + -120y + 120y Combine like terms: -192 + 192 = 0 192 + 128x + 80xy + 120y = 0 + -120y + 120y 192 + 128x + 80xy + 120y = -120y + 120y Combine like terms: -120y + 120y = 0 192 + 128x + 80xy + 120y = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(24 + 16x + 10xy + 15y) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(24 + 16x + 10xy + 15y)' equal to zero and attempt to solve: Simplifying 24 + 16x + 10xy + 15y = 0 Solving 24 + 16x + 10xy + 15y = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 16x + 10xy + -24 + 15y = 0 + -24 Reorder the terms: 24 + -24 + 16x + 10xy + 15y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 16x + 10xy + 15y = 0 + -24 16x + 10xy + 15y = 0 + -24 Combine like terms: 0 + -24 = -24 16x + 10xy + 15y = -24 Add '-15y' to each side of the equation. 16x + 10xy + 15y + -15y = -24 + -15y Combine like terms: 15y + -15y = 0 16x + 10xy + 0 = -24 + -15y 16x + 10xy = -24 + -15y 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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