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Simplifying (2X + 4Y)(6X + -7Y) = 18 Multiply (2X + 4Y) * (6X + -7Y) (2X * (6X + -7Y) + 4Y * (6X + -7Y)) = 18 ((6X * 2X + -7Y * 2X) + 4Y * (6X + -7Y)) = 18 Reorder the terms: ((-14XY + 12X2) + 4Y * (6X + -7Y)) = 18 ((-14XY + 12X2) + 4Y * (6X + -7Y)) = 18 (-14XY + 12X2 + (6X * 4Y + -7Y * 4Y)) = 18 (-14XY + 12X2 + (24XY + -28Y2)) = 18 Reorder the terms: (-14XY + 24XY + 12X2 + -28Y2) = 18 Combine like terms: -14XY + 24XY = 10XY (10XY + 12X2 + -28Y2) = 18 Solving 10XY + 12X2 + -28Y2 = 18 Solving for variable 'X'. Reorder the terms: -18 + 10XY + 12X2 + -28Y2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 10XY + 12X2 + -28Y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 5XY + 6X2 + -14Y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 5XY + 6X2 + -14Y2)' equal to zero and attempt to solve: Simplifying -9 + 5XY + 6X2 + -14Y2 = 0 Solving -9 + 5XY + 6X2 + -14Y2 = 0 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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