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Simplifying (7y + 9x)(2y + 10x) = 1560 Reorder the terms: (9x + 7y)(2y + 10x) = 1560 Reorder the terms: (9x + 7y)(10x + 2y) = 1560 Multiply (9x + 7y) * (10x + 2y) (9x * (10x + 2y) + 7y * (10x + 2y)) = 1560 ((10x * 9x + 2y * 9x) + 7y * (10x + 2y)) = 1560 Reorder the terms: ((18xy + 90x2) + 7y * (10x + 2y)) = 1560 ((18xy + 90x2) + 7y * (10x + 2y)) = 1560 (18xy + 90x2 + (10x * 7y + 2y * 7y)) = 1560 (18xy + 90x2 + (70xy + 14y2)) = 1560 Reorder the terms: (18xy + 70xy + 90x2 + 14y2) = 1560 Combine like terms: 18xy + 70xy = 88xy (88xy + 90x2 + 14y2) = 1560 Solving 88xy + 90x2 + 14y2 = 1560 Solving for variable 'x'. Reorder the terms: -1560 + 88xy + 90x2 + 14y2 = 1560 + -1560 Combine like terms: 1560 + -1560 = 0 -1560 + 88xy + 90x2 + 14y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-780 + 44xy + 45x2 + 7y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-780 + 44xy + 45x2 + 7y2)' equal to zero and attempt to solve: Simplifying -780 + 44xy + 45x2 + 7y2 = 0 Solving -780 + 44xy + 45x2 + 7y2 = 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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