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Simplifying x(y + 2) = y(6 + -7x) Reorder the terms: x(2 + y) = y(6 + -7x) (2 * x + y * x) = y(6 + -7x) (2x + xy) = y(6 + -7x) 2x + xy = (6 * y + -7x * y) Reorder the terms: 2x + xy = (-7xy + 6y) 2x + xy = (-7xy + 6y) Solving 2x + xy = -7xy + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7xy' to each side of the equation. 2x + xy + 7xy = -7xy + 7xy + 6y Combine like terms: xy + 7xy = 8xy 2x + 8xy = -7xy + 7xy + 6y Combine like terms: -7xy + 7xy = 0 2x + 8xy = 0 + 6y 2x + 8xy = 6y Combine like terms: 6y + -6y = 0 2x + 8xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + 4xy + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + 4xy + -3y)' equal to zero and attempt to solve: Simplifying x + 4xy + -3y = 0 Solving x + 4xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + 4xy + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 4xy + 0 = 0 + 3y x + 4xy = 0 + 3y Remove the zero: x + 4xy = 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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