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Simplifying 14x + 6y + -10xy + 12 = 0 Reorder the terms: 12 + 14x + -10xy + 6y = 0 Solving 12 + 14x + -10xy + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 14x + -10xy + -12 + 6y = 0 + -12 Reorder the terms: 12 + -12 + 14x + -10xy + 6y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 14x + -10xy + 6y = 0 + -12 14x + -10xy + 6y = 0 + -12 Combine like terms: 0 + -12 = -12 14x + -10xy + 6y = -12 Add '-6y' to each side of the equation. 14x + -10xy + 6y + -6y = -12 + -6y Combine like terms: 6y + -6y = 0 14x + -10xy + 0 = -12 + -6y 14x + -10xy = -12 + -6y Reorder the terms: 12 + 14x + -10xy + 6y = -12 + -6y + 12 + 6y Reorder the terms: 12 + 14x + -10xy + 6y = -12 + 12 + -6y + 6y Combine like terms: -12 + 12 = 0 12 + 14x + -10xy + 6y = 0 + -6y + 6y 12 + 14x + -10xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 12 + 14x + -10xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 7x + -5xy + 3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + 7x + -5xy + 3y)' equal to zero and attempt to solve: Simplifying 6 + 7x + -5xy + 3y = 0 Solving 6 + 7x + -5xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 7x + -5xy + -6 + 3y = 0 + -6 Reorder the terms: 6 + -6 + 7x + -5xy + 3y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x + -5xy + 3y = 0 + -6 7x + -5xy + 3y = 0 + -6 Combine like terms: 0 + -6 = -6 7x + -5xy + 3y = -6 Add '-3y' to each side of the equation. 7x + -5xy + 3y + -3y = -6 + -3y Combine like terms: 3y + -3y = 0 7x + -5xy + 0 = -6 + -3y 7x + -5xy = -6 + -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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