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Simplifying 12x2y + -18x2 + -18y + 27 = 0 Reorder the terms: 27 + -18x2 + 12x2y + -18y = 0 Solving 27 + -18x2 + 12x2y + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -18x2 + 12x2y + -27 + -18y = 0 + -27 Reorder the terms: 27 + -27 + -18x2 + 12x2y + -18y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -18x2 + 12x2y + -18y = 0 + -27 -18x2 + 12x2y + -18y = 0 + -27 Combine like terms: 0 + -27 = -27 -18x2 + 12x2y + -18y = -27 Add '18y' to each side of the equation. -18x2 + 12x2y + -18y + 18y = -27 + 18y Combine like terms: -18y + 18y = 0 -18x2 + 12x2y + 0 = -27 + 18y -18x2 + 12x2y = -27 + 18y Reorder the terms: 27 + -18x2 + 12x2y + -18y = -27 + 18y + 27 + -18y Reorder the terms: 27 + -18x2 + 12x2y + -18y = -27 + 27 + 18y + -18y Combine like terms: -27 + 27 = 0 27 + -18x2 + 12x2y + -18y = 0 + 18y + -18y 27 + -18x2 + 12x2y + -18y = 18y + -18y Combine like terms: 18y + -18y = 0 27 + -18x2 + 12x2y + -18y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(9 + -6x2 + 4x2y + -6y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + -6x2 + 4x2y + -6y)' equal to zero and attempt to solve: Simplifying 9 + -6x2 + 4x2y + -6y = 0 Solving 9 + -6x2 + 4x2y + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -6x2 + 4x2y + -9 + -6y = 0 + -9 Reorder the terms: 9 + -9 + -6x2 + 4x2y + -6y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -6x2 + 4x2y + -6y = 0 + -9 -6x2 + 4x2y + -6y = 0 + -9 Combine like terms: 0 + -9 = -9 -6x2 + 4x2y + -6y = -9 Add '6y' to each side of the equation. -6x2 + 4x2y + -6y + 6y = -9 + 6y Combine like terms: -6y + 6y = 0 -6x2 + 4x2y + 0 = -9 + 6y -6x2 + 4x2y = -9 + 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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