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Simplifying 2xy + 3x + -18y + 7xy + 3 + -9x = 0 Reorder the terms: 3 + 3x + -9x + 2xy + 7xy + -18y = 0 Combine like terms: 3x + -9x = -6x 3 + -6x + 2xy + 7xy + -18y = 0 Combine like terms: 2xy + 7xy = 9xy 3 + -6x + 9xy + -18y = 0 Solving 3 + -6x + 9xy + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -6x + 9xy + -3 + -18y = 0 + -3 Reorder the terms: 3 + -3 + -6x + 9xy + -18y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6x + 9xy + -18y = 0 + -3 -6x + 9xy + -18y = 0 + -3 Combine like terms: 0 + -3 = -3 -6x + 9xy + -18y = -3 Add '18y' to each side of the equation. -6x + 9xy + -18y + 18y = -3 + 18y Combine like terms: -18y + 18y = 0 -6x + 9xy + 0 = -3 + 18y -6x + 9xy = -3 + 18y Reorder the terms: 3 + -6x + 9xy + -18y = -3 + 18y + 3 + -18y Reorder the terms: 3 + -6x + 9xy + -18y = -3 + 3 + 18y + -18y Combine like terms: -3 + 3 = 0 3 + -6x + 9xy + -18y = 0 + 18y + -18y 3 + -6x + 9xy + -18y = 18y + -18y Combine like terms: 18y + -18y = 0 3 + -6x + 9xy + -18y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -2x + 3xy + -6y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -2x + 3xy + -6y)' equal to zero and attempt to solve: Simplifying 1 + -2x + 3xy + -6y = 0 Solving 1 + -2x + 3xy + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2x + 3xy + -1 + -6y = 0 + -1 Reorder the terms: 1 + -1 + -2x + 3xy + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x + 3xy + -6y = 0 + -1 -2x + 3xy + -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -2x + 3xy + -6y = -1 Add '6y' to each side of the equation. -2x + 3xy + -6y + 6y = -1 + 6y Combine like terms: -6y + 6y = 0 -2x + 3xy + 0 = -1 + 6y -2x + 3xy = -1 + 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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