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Simplifying 4x + 6y + -24yx + 60y + 162 = 0 Reorder the terms: 162 + 4x + -24xy + 6y + 60y = 0 Combine like terms: 6y + 60y = 66y 162 + 4x + -24xy + 66y = 0 Solving 162 + 4x + -24xy + 66y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162' to each side of the equation. 162 + 4x + -24xy + -162 + 66y = 0 + -162 Reorder the terms: 162 + -162 + 4x + -24xy + 66y = 0 + -162 Combine like terms: 162 + -162 = 0 0 + 4x + -24xy + 66y = 0 + -162 4x + -24xy + 66y = 0 + -162 Combine like terms: 0 + -162 = -162 4x + -24xy + 66y = -162 Add '-66y' to each side of the equation. 4x + -24xy + 66y + -66y = -162 + -66y Combine like terms: 66y + -66y = 0 4x + -24xy + 0 = -162 + -66y 4x + -24xy = -162 + -66y Reorder the terms: 162 + 4x + -24xy + 66y = -162 + -66y + 162 + 66y Reorder the terms: 162 + 4x + -24xy + 66y = -162 + 162 + -66y + 66y Combine like terms: -162 + 162 = 0 162 + 4x + -24xy + 66y = 0 + -66y + 66y 162 + 4x + -24xy + 66y = -66y + 66y Combine like terms: -66y + 66y = 0 162 + 4x + -24xy + 66y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(81 + 2x + -12xy + 33y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(81 + 2x + -12xy + 33y)' equal to zero and attempt to solve: Simplifying 81 + 2x + -12xy + 33y = 0 Solving 81 + 2x + -12xy + 33y = 0 Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + 2x + -12xy + -81 + 33y = 0 + -81 Reorder the terms: 81 + -81 + 2x + -12xy + 33y = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 2x + -12xy + 33y = 0 + -81 2x + -12xy + 33y = 0 + -81 Combine like terms: 0 + -81 = -81 2x + -12xy + 33y = -81 Add '-33y' to each side of the equation. 2x + -12xy + 33y + -33y = -81 + -33y Combine like terms: 33y + -33y = 0 2x + -12xy + 0 = -81 + -33y 2x + -12xy = -81 + -33y 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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