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Simplifying 15xy + -45x + -6y + 18 = 0 Reorder the terms: 18 + -45x + 15xy + -6y = 0 Solving 18 + -45x + 15xy + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -45x + 15xy + -18 + -6y = 0 + -18 Reorder the terms: 18 + -18 + -45x + 15xy + -6y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -45x + 15xy + -6y = 0 + -18 -45x + 15xy + -6y = 0 + -18 Combine like terms: 0 + -18 = -18 -45x + 15xy + -6y = -18 Add '6y' to each side of the equation. -45x + 15xy + -6y + 6y = -18 + 6y Combine like terms: -6y + 6y = 0 -45x + 15xy + 0 = -18 + 6y -45x + 15xy = -18 + 6y Reorder the terms: 18 + -45x + 15xy + -6y = -18 + 6y + 18 + -6y Reorder the terms: 18 + -45x + 15xy + -6y = -18 + 18 + 6y + -6y Combine like terms: -18 + 18 = 0 18 + -45x + 15xy + -6y = 0 + 6y + -6y 18 + -45x + 15xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 18 + -45x + 15xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -15x + 5xy + -2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -15x + 5xy + -2y)' equal to zero and attempt to solve: Simplifying 6 + -15x + 5xy + -2y = 0 Solving 6 + -15x + 5xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -15x + 5xy + -6 + -2y = 0 + -6 Reorder the terms: 6 + -6 + -15x + 5xy + -2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -15x + 5xy + -2y = 0 + -6 -15x + 5xy + -2y = 0 + -6 Combine like terms: 0 + -6 = -6 -15x + 5xy + -2y = -6 Add '2y' to each side of the equation. -15x + 5xy + -2y + 2y = -6 + 2y Combine like terms: -2y + 2y = 0 -15x + 5xy + 0 = -6 + 2y -15x + 5xy = -6 + 2y 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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