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Simplifying 2xy2 + -2y2 + -12xy + 12y = 0 Reorder the terms: -12xy + 2xy2 + 12y + -2y2 = 0 Solving -12xy + 2xy2 + 12y + -2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -12xy + 2xy2 + 12y + -12y + -2y2 = 0 + -12y Combine like terms: 12y + -12y = 0 -12xy + 2xy2 + 0 + -2y2 = 0 + -12y -12xy + 2xy2 + -2y2 = 0 + -12y Remove the zero: -12xy + 2xy2 + -2y2 = -12y Add '2y2' to each side of the equation. -12xy + 2xy2 + -2y2 + 2y2 = -12y + 2y2 Combine like terms: -2y2 + 2y2 = 0 -12xy + 2xy2 + 0 = -12y + 2y2 -12xy + 2xy2 = -12y + 2y2 Reorder the terms: -12xy + 2xy2 + 12y + -2y2 = -12y + 12y + 2y2 + -2y2 Combine like terms: -12y + 12y = 0 -12xy + 2xy2 + 12y + -2y2 = 0 + 2y2 + -2y2 -12xy + 2xy2 + 12y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -12xy + 2xy2 + 12y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-6x + xy + 6 + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-6x + xy + 6 + -1y)' equal to zero and attempt to solve: Simplifying -6x + xy + 6 + -1y = 0 Reorder the terms: 6 + -6x + xy + -1y = 0 Solving 6 + -6x + xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6x + xy + -6 + -1y = 0 + -6 Reorder the terms: 6 + -6 + -6x + xy + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x + xy + -1y = 0 + -6 -6x + xy + -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -6x + xy + -1y = -6 Add 'y' to each side of the equation. -6x + xy + -1y + y = -6 + y Combine like terms: -1y + y = 0 -6x + xy + 0 = -6 + y -6x + xy = -6 + y 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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