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Simplifying 36XY + -6(X + Y) + -1 = 36AB + -6(A + B) + -1 36XY + (X * -6 + Y * -6) + -1 = 36AB + -6(A + B) + -1 36XY + (-6X + -6Y) + -1 = 36AB + -6(A + B) + -1 Reorder the terms: -1 + -6X + 36XY + -6Y = 36AB + -6(A + B) + -1 -1 + -6X + 36XY + -6Y = 36AB + (A * -6 + B * -6) + -1 -1 + -6X + 36XY + -6Y = 36AB + (-6A + -6B) + -1 Reorder the terms: -1 + -6X + 36XY + -6Y = -1 + -6A + 36AB + -6B Add '1' to each side of the equation. -1 + -6X + 36XY + 1 + -6Y = -1 + -6A + 36AB + 1 + -6B Reorder the terms: -1 + 1 + -6X + 36XY + -6Y = -1 + -6A + 36AB + 1 + -6B Combine like terms: -1 + 1 = 0 0 + -6X + 36XY + -6Y = -1 + -6A + 36AB + 1 + -6B -6X + 36XY + -6Y = -1 + -6A + 36AB + 1 + -6B Reorder the terms: -6X + 36XY + -6Y = -1 + 1 + -6A + 36AB + -6B Combine like terms: -1 + 1 = 0 -6X + 36XY + -6Y = 0 + -6A + 36AB + -6B -6X + 36XY + -6Y = -6A + 36AB + -6B Solving -6X + 36XY + -6Y = -6A + 36AB + -6B Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6Y' to each side of the equation. -6X + 36XY + -6Y + 6Y = -6A + 36AB + -6B + 6Y Combine like terms: -6Y + 6Y = 0 -6X + 36XY + 0 = -6A + 36AB + -6B + 6Y -6X + 36XY = -6A + 36AB + -6B + 6Y Reorder the terms: 6A + -36AB + 6B + -6X + 36XY + -6Y = -6A + 36AB + -6B + 6Y + 6A + -36AB + 6B + -6Y Reorder the terms: 6A + -36AB + 6B + -6X + 36XY + -6Y = -6A + 6A + 36AB + -36AB + -6B + 6B + 6Y + -6Y Combine like terms: -6A + 6A = 0 6A + -36AB + 6B + -6X + 36XY + -6Y = 0 + 36AB + -36AB + -6B + 6B + 6Y + -6Y 6A + -36AB + 6B + -6X + 36XY + -6Y = 36AB + -36AB + -6B + 6B + 6Y + -6Y Combine like terms: 36AB + -36AB = 0 6A + -36AB + 6B + -6X + 36XY + -6Y = 0 + -6B + 6B + 6Y + -6Y 6A + -36AB + 6B + -6X + 36XY + -6Y = -6B + 6B + 6Y + -6Y Combine like terms: -6B + 6B = 0 6A + -36AB + 6B + -6X + 36XY + -6Y = 0 + 6Y + -6Y 6A + -36AB + 6B + -6X + 36XY + -6Y = 6Y + -6Y Combine like terms: 6Y + -6Y = 0 6A + -36AB + 6B + -6X + 36XY + -6Y = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(A + -6AB + B + -1X + 6XY + -1Y) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(A + -6AB + B + -1X + 6XY + -1Y)' equal to zero and attempt to solve: Simplifying A + -6AB + B + -1X + 6XY + -1Y = 0 Solving A + -6AB + B + -1X + 6XY + -1Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-1A' to each side of the equation. A + -6AB + B + -1X + 6XY + -1A + -1Y = 0 + -1A Reorder the terms: A + -1A + -6AB + B + -1X + 6XY + -1Y = 0 + -1A Combine like terms: A + -1A = 0 0 + -6AB + B + -1X + 6XY + -1Y = 0 + -1A -6AB + B + -1X + 6XY + -1Y = 0 + -1A Remove the zero: -6AB + B + -1X + 6XY + -1Y = -1A Add '6AB' to each side of the equation. -6AB + B + -1X + 6XY + 6AB + -1Y = -1A + 6AB Reorder the terms: -6AB + 6AB + B + -1X + 6XY + -1Y = -1A + 6AB Combine like terms: -6AB + 6AB = 0 0 + B + -1X + 6XY + -1Y = -1A + 6AB B + -1X + 6XY + -1Y = -1A + 6AB Add '-1B' to each side of the equation. B + -1X + 6XY + -1B + -1Y = -1A + 6AB + -1B Reorder the terms: B + -1B + -1X + 6XY + -1Y = -1A + 6AB + -1B Combine like terms: B + -1B = 0 0 + -1X + 6XY + -1Y = -1A + 6AB + -1B -1X + 6XY + -1Y = -1A + 6AB + -1B Add 'Y' to each side of the equation. -1X + 6XY + -1Y + Y = -1A + 6AB + -1B + Y Combine like terms: -1Y + Y = 0 -1X + 6XY + 0 = -1A + 6AB + -1B + Y -1X + 6XY = -1A + 6AB + -1B + Y 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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