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Simplifying 36xy + 6x + 6y + 1 = 143 Reorder the terms: 1 + 6x + 36xy + 6y = 143 Solving 1 + 6x + 36xy + 6y = 143 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6x + 36xy + -1 + 6y = 143 + -1 Reorder the terms: 1 + -1 + 6x + 36xy + 6y = 143 + -1 Combine like terms: 1 + -1 = 0 0 + 6x + 36xy + 6y = 143 + -1 6x + 36xy + 6y = 143 + -1 Combine like terms: 143 + -1 = 142 6x + 36xy + 6y = 142 Add '-6y' to each side of the equation. 6x + 36xy + 6y + -6y = 142 + -6y Combine like terms: 6y + -6y = 0 6x + 36xy + 0 = 142 + -6y 6x + 36xy = 142 + -6y Reorder the terms: -142 + 6x + 36xy + 6y = 142 + -6y + -142 + 6y Reorder the terms: -142 + 6x + 36xy + 6y = 142 + -142 + -6y + 6y Combine like terms: 142 + -142 = 0 -142 + 6x + 36xy + 6y = 0 + -6y + 6y -142 + 6x + 36xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -142 + 6x + 36xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-71 + 3x + 18xy + 3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-71 + 3x + 18xy + 3y)' equal to zero and attempt to solve: Simplifying -71 + 3x + 18xy + 3y = 0 Solving -71 + 3x + 18xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 3x + 18xy + 71 + 3y = 0 + 71 Reorder the terms: -71 + 71 + 3x + 18xy + 3y = 0 + 71 Combine like terms: -71 + 71 = 0 0 + 3x + 18xy + 3y = 0 + 71 3x + 18xy + 3y = 0 + 71 Combine like terms: 0 + 71 = 71 3x + 18xy + 3y = 71 Add '-3y' to each side of the equation. 3x + 18xy + 3y + -3y = 71 + -3y Combine like terms: 3y + -3y = 0 3x + 18xy + 0 = 71 + -3y 3x + 18xy = 71 + -3y 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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