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Simplifying 54xy + 45x + 18y + 15 = 0 Reorder the terms: 15 + 45x + 54xy + 18y = 0 Solving 15 + 45x + 54xy + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 45x + 54xy + -15 + 18y = 0 + -15 Reorder the terms: 15 + -15 + 45x + 54xy + 18y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 45x + 54xy + 18y = 0 + -15 45x + 54xy + 18y = 0 + -15 Combine like terms: 0 + -15 = -15 45x + 54xy + 18y = -15 Add '-18y' to each side of the equation. 45x + 54xy + 18y + -18y = -15 + -18y Combine like terms: 18y + -18y = 0 45x + 54xy + 0 = -15 + -18y 45x + 54xy = -15 + -18y Reorder the terms: 15 + 45x + 54xy + 18y = -15 + -18y + 15 + 18y Reorder the terms: 15 + 45x + 54xy + 18y = -15 + 15 + -18y + 18y Combine like terms: -15 + 15 = 0 15 + 45x + 54xy + 18y = 0 + -18y + 18y 15 + 45x + 54xy + 18y = -18y + 18y Combine like terms: -18y + 18y = 0 15 + 45x + 54xy + 18y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 15x + 18xy + 6y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + 15x + 18xy + 6y)' equal to zero and attempt to solve: Simplifying 5 + 15x + 18xy + 6y = 0 Solving 5 + 15x + 18xy + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 15x + 18xy + -5 + 6y = 0 + -5 Reorder the terms: 5 + -5 + 15x + 18xy + 6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 15x + 18xy + 6y = 0 + -5 15x + 18xy + 6y = 0 + -5 Combine like terms: 0 + -5 = -5 15x + 18xy + 6y = -5 Add '-6y' to each side of the equation. 15x + 18xy + 6y + -6y = -5 + -6y Combine like terms: 6y + -6y = 0 15x + 18xy + 0 = -5 + -6y 15x + 18xy = -5 + -6y 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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