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Simplifying 6 + -9x2 + 12y + -18x2y = 0 Reorder the terms: 6 + -9x2 + -18x2y + 12y = 0 Solving 6 + -9x2 + -18x2y + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -9x2 + -18x2y + -6 + 12y = 0 + -6 Reorder the terms: 6 + -6 + -9x2 + -18x2y + 12y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -9x2 + -18x2y + 12y = 0 + -6 -9x2 + -18x2y + 12y = 0 + -6 Combine like terms: 0 + -6 = -6 -9x2 + -18x2y + 12y = -6 Add '-12y' to each side of the equation. -9x2 + -18x2y + 12y + -12y = -6 + -12y Combine like terms: 12y + -12y = 0 -9x2 + -18x2y + 0 = -6 + -12y -9x2 + -18x2y = -6 + -12y Reorder the terms: 6 + -9x2 + -18x2y + 12y = -6 + -12y + 6 + 12y Reorder the terms: 6 + -9x2 + -18x2y + 12y = -6 + 6 + -12y + 12y Combine like terms: -6 + 6 = 0 6 + -9x2 + -18x2y + 12y = 0 + -12y + 12y 6 + -9x2 + -18x2y + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 6 + -9x2 + -18x2y + 12y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + -3x2 + -6x2y + 4y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -3x2 + -6x2y + 4y)' equal to zero and attempt to solve: Simplifying 2 + -3x2 + -6x2y + 4y = 0 Solving 2 + -3x2 + -6x2y + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3x2 + -6x2y + -2 + 4y = 0 + -2 Reorder the terms: 2 + -2 + -3x2 + -6x2y + 4y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x2 + -6x2y + 4y = 0 + -2 -3x2 + -6x2y + 4y = 0 + -2 Combine like terms: 0 + -2 = -2 -3x2 + -6x2y + 4y = -2 Add '-4y' to each side of the equation. -3x2 + -6x2y + 4y + -4y = -2 + -4y Combine like terms: 4y + -4y = 0 -3x2 + -6x2y + 0 = -2 + -4y -3x2 + -6x2y = -2 + -4y 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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