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Simplifying 222x + 108xy + 1554y + 252y2 = 12 Solving 222x + 108xy + 1554y + 252y2 = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1554y' to each side of the equation. 222x + 108xy + 1554y + -1554y + 252y2 = 12 + -1554y Combine like terms: 1554y + -1554y = 0 222x + 108xy + 0 + 252y2 = 12 + -1554y 222x + 108xy + 252y2 = 12 + -1554y Add '-252y2' to each side of the equation. 222x + 108xy + 252y2 + -252y2 = 12 + -1554y + -252y2 Combine like terms: 252y2 + -252y2 = 0 222x + 108xy + 0 = 12 + -1554y + -252y2 222x + 108xy = 12 + -1554y + -252y2 Reorder the terms: -12 + 222x + 108xy + 1554y + 252y2 = 12 + -1554y + -252y2 + -12 + 1554y + 252y2 Reorder the terms: -12 + 222x + 108xy + 1554y + 252y2 = 12 + -12 + -1554y + 1554y + -252y2 + 252y2 Combine like terms: 12 + -12 = 0 -12 + 222x + 108xy + 1554y + 252y2 = 0 + -1554y + 1554y + -252y2 + 252y2 -12 + 222x + 108xy + 1554y + 252y2 = -1554y + 1554y + -252y2 + 252y2 Combine like terms: -1554y + 1554y = 0 -12 + 222x + 108xy + 1554y + 252y2 = 0 + -252y2 + 252y2 -12 + 222x + 108xy + 1554y + 252y2 = -252y2 + 252y2 Combine like terms: -252y2 + 252y2 = 0 -12 + 222x + 108xy + 1554y + 252y2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + 37x + 18xy + 259y + 42y2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + 37x + 18xy + 259y + 42y2)' equal to zero and attempt to solve: Simplifying -2 + 37x + 18xy + 259y + 42y2 = 0 Solving -2 + 37x + 18xy + 259y + 42y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 37x + 18xy + 259y + 2 + 42y2 = 0 + 2 Reorder the terms: -2 + 2 + 37x + 18xy + 259y + 42y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 37x + 18xy + 259y + 42y2 = 0 + 2 37x + 18xy + 259y + 42y2 = 0 + 2 Combine like terms: 0 + 2 = 2 37x + 18xy + 259y + 42y2 = 2 Add '-259y' to each side of the equation. 37x + 18xy + 259y + -259y + 42y2 = 2 + -259y Combine like terms: 259y + -259y = 0 37x + 18xy + 0 + 42y2 = 2 + -259y 37x + 18xy + 42y2 = 2 + -259y Add '-42y2' to each side of the equation. 37x + 18xy + 42y2 + -42y2 = 2 + -259y + -42y2 Combine like terms: 42y2 + -42y2 = 0 37x + 18xy + 0 = 2 + -259y + -42y2 37x + 18xy = 2 + -259y + -42y2 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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