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Simplifying (9x + 2)(9y + 7) = 6467 Reorder the terms: (2 + 9x)(9y + 7) = 6467 Reorder the terms: (2 + 9x)(7 + 9y) = 6467 Multiply (2 + 9x) * (7 + 9y) (2(7 + 9y) + 9x * (7 + 9y)) = 6467 ((7 * 2 + 9y * 2) + 9x * (7 + 9y)) = 6467 ((14 + 18y) + 9x * (7 + 9y)) = 6467 (14 + 18y + (7 * 9x + 9y * 9x)) = 6467 (14 + 18y + (63x + 81xy)) = 6467 Reorder the terms: (14 + 63x + 81xy + 18y) = 6467 (14 + 63x + 81xy + 18y) = 6467 Solving 14 + 63x + 81xy + 18y = 6467 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 63x + 81xy + -14 + 18y = 6467 + -14 Reorder the terms: 14 + -14 + 63x + 81xy + 18y = 6467 + -14 Combine like terms: 14 + -14 = 0 0 + 63x + 81xy + 18y = 6467 + -14 63x + 81xy + 18y = 6467 + -14 Combine like terms: 6467 + -14 = 6453 63x + 81xy + 18y = 6453 Add '-18y' to each side of the equation. 63x + 81xy + 18y + -18y = 6453 + -18y Combine like terms: 18y + -18y = 0 63x + 81xy + 0 = 6453 + -18y 63x + 81xy = 6453 + -18y Reorder the terms: -6453 + 63x + 81xy + 18y = 6453 + -18y + -6453 + 18y Reorder the terms: -6453 + 63x + 81xy + 18y = 6453 + -6453 + -18y + 18y Combine like terms: 6453 + -6453 = 0 -6453 + 63x + 81xy + 18y = 0 + -18y + 18y -6453 + 63x + 81xy + 18y = -18y + 18y Combine like terms: -18y + 18y = 0 -6453 + 63x + 81xy + 18y = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-717 + 7x + 9xy + 2y) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-717 + 7x + 9xy + 2y)' equal to zero and attempt to solve: Simplifying -717 + 7x + 9xy + 2y = 0 Solving -717 + 7x + 9xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '717' to each side of the equation. -717 + 7x + 9xy + 717 + 2y = 0 + 717 Reorder the terms: -717 + 717 + 7x + 9xy + 2y = 0 + 717 Combine like terms: -717 + 717 = 0 0 + 7x + 9xy + 2y = 0 + 717 7x + 9xy + 2y = 0 + 717 Combine like terms: 0 + 717 = 717 7x + 9xy + 2y = 717 Add '-2y' to each side of the equation. 7x + 9xy + 2y + -2y = 717 + -2y Combine like terms: 2y + -2y = 0 7x + 9xy + 0 = 717 + -2y 7x + 9xy = 717 + -2y 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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