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Simplifying 6xy + 9x + 3y2 + -12y + -45 = 0 Reorder the terms: -45 + 9x + 6xy + -12y + 3y2 = 0 Solving -45 + 9x + 6xy + -12y + 3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 9x + 6xy + -12y + 45 + 3y2 = 0 + 45 Reorder the terms: -45 + 45 + 9x + 6xy + -12y + 3y2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 9x + 6xy + -12y + 3y2 = 0 + 45 9x + 6xy + -12y + 3y2 = 0 + 45 Combine like terms: 0 + 45 = 45 9x + 6xy + -12y + 3y2 = 45 Add '12y' to each side of the equation. 9x + 6xy + -12y + 12y + 3y2 = 45 + 12y Combine like terms: -12y + 12y = 0 9x + 6xy + 0 + 3y2 = 45 + 12y 9x + 6xy + 3y2 = 45 + 12y Add '-3y2' to each side of the equation. 9x + 6xy + 3y2 + -3y2 = 45 + 12y + -3y2 Combine like terms: 3y2 + -3y2 = 0 9x + 6xy + 0 = 45 + 12y + -3y2 9x + 6xy = 45 + 12y + -3y2 Reorder the terms: -45 + 9x + 6xy + -12y + 3y2 = 45 + 12y + -3y2 + -45 + -12y + 3y2 Reorder the terms: -45 + 9x + 6xy + -12y + 3y2 = 45 + -45 + 12y + -12y + -3y2 + 3y2 Combine like terms: 45 + -45 = 0 -45 + 9x + 6xy + -12y + 3y2 = 0 + 12y + -12y + -3y2 + 3y2 -45 + 9x + 6xy + -12y + 3y2 = 12y + -12y + -3y2 + 3y2 Combine like terms: 12y + -12y = 0 -45 + 9x + 6xy + -12y + 3y2 = 0 + -3y2 + 3y2 -45 + 9x + 6xy + -12y + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 -45 + 9x + 6xy + -12y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + 3x + 2xy + -4y + y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-15 + 3x + 2xy + -4y + y2)' equal to zero and attempt to solve: Simplifying -15 + 3x + 2xy + -4y + y2 = 0 Solving -15 + 3x + 2xy + -4y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 3x + 2xy + -4y + 15 + y2 = 0 + 15 Reorder the terms: -15 + 15 + 3x + 2xy + -4y + y2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3x + 2xy + -4y + y2 = 0 + 15 3x + 2xy + -4y + y2 = 0 + 15 Combine like terms: 0 + 15 = 15 3x + 2xy + -4y + y2 = 15 Add '4y' to each side of the equation. 3x + 2xy + -4y + 4y + y2 = 15 + 4y Combine like terms: -4y + 4y = 0 3x + 2xy + 0 + y2 = 15 + 4y 3x + 2xy + y2 = 15 + 4y Add '-1y2' to each side of the equation. 3x + 2xy + y2 + -1y2 = 15 + 4y + -1y2 Combine like terms: y2 + -1y2 = 0 3x + 2xy + 0 = 15 + 4y + -1y2 3x + 2xy = 15 + 4y + -1y2 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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