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