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Simplifying 12xy2 + 36y2 + 112xy + 336y + -80x + -240 = 0 Reorder the terms: -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 Solving -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '240' to each side of the equation. -240 + -80x + 112xy + 12xy2 + 336y + 240 + 36y2 = 0 + 240 Reorder the terms: -240 + 240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + 240 Combine like terms: -240 + 240 = 0 0 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + 240 -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + 240 Combine like terms: 0 + 240 = 240 -80x + 112xy + 12xy2 + 336y + 36y2 = 240 Add '-336y' to each side of the equation. -80x + 112xy + 12xy2 + 336y + -336y + 36y2 = 240 + -336y Combine like terms: 336y + -336y = 0 -80x + 112xy + 12xy2 + 0 + 36y2 = 240 + -336y -80x + 112xy + 12xy2 + 36y2 = 240 + -336y Add '-36y2' to each side of the equation. -80x + 112xy + 12xy2 + 36y2 + -36y2 = 240 + -336y + -36y2 Combine like terms: 36y2 + -36y2 = 0 -80x + 112xy + 12xy2 + 0 = 240 + -336y + -36y2 -80x + 112xy + 12xy2 = 240 + -336y + -36y2 Reorder the terms: -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 240 + -336y + -36y2 + -240 + 336y + 36y2 Reorder the terms: -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 240 + -240 + -336y + 336y + -36y2 + 36y2 Combine like terms: 240 + -240 = 0 -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + -336y + 336y + -36y2 + 36y2 -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = -336y + 336y + -36y2 + 36y2 Combine like terms: -336y + 336y = 0 -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + -36y2 + 36y2 -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = -36y2 + 36y2 Combine like terms: -36y2 + 36y2 = 0 -240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-60 + -20x + 28xy + 3xy2 + 84y + 9y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-60 + -20x + 28xy + 3xy2 + 84y + 9y2)' equal to zero and attempt to solve: Simplifying -60 + -20x + 28xy + 3xy2 + 84y + 9y2 = 0 Solving -60 + -20x + 28xy + 3xy2 + 84y + 9y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -20x + 28xy + 3xy2 + 84y + 60 + 9y2 = 0 + 60 Reorder the terms: -60 + 60 + -20x + 28xy + 3xy2 + 84y + 9y2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -20x + 28xy + 3xy2 + 84y + 9y2 = 0 + 60 -20x + 28xy + 3xy2 + 84y + 9y2 = 0 + 60 Combine like terms: 0 + 60 = 60 -20x + 28xy + 3xy2 + 84y + 9y2 = 60 Add '-84y' to each side of the equation. -20x + 28xy + 3xy2 + 84y + -84y + 9y2 = 60 + -84y Combine like terms: 84y + -84y = 0 -20x + 28xy + 3xy2 + 0 + 9y2 = 60 + -84y -20x + 28xy + 3xy2 + 9y2 = 60 + -84y Add '-9y2' to each side of the equation. -20x + 28xy + 3xy2 + 9y2 + -9y2 = 60 + -84y + -9y2 Combine like terms: 9y2 + -9y2 = 0 -20x + 28xy + 3xy2 + 0 = 60 + -84y + -9y2 -20x + 28xy + 3xy2 = 60 + -84y + -9y2 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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