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Simplifying (2x + 3y)(3x + -2y) = -1x + -8y + 2 Multiply (2x + 3y) * (3x + -2y) (2x * (3x + -2y) + 3y * (3x + -2y)) = -1x + -8y + 2 ((3x * 2x + -2y * 2x) + 3y * (3x + -2y)) = -1x + -8y + 2 Reorder the terms: ((-4xy + 6x2) + 3y * (3x + -2y)) = -1x + -8y + 2 ((-4xy + 6x2) + 3y * (3x + -2y)) = -1x + -8y + 2 (-4xy + 6x2 + (3x * 3y + -2y * 3y)) = -1x + -8y + 2 (-4xy + 6x2 + (9xy + -6y2)) = -1x + -8y + 2 Reorder the terms: (-4xy + 9xy + 6x2 + -6y2) = -1x + -8y + 2 Combine like terms: -4xy + 9xy = 5xy (5xy + 6x2 + -6y2) = -1x + -8y + 2 Reorder the terms: 5xy + 6x2 + -6y2 = 2 + -1x + -8y Solving 5xy + 6x2 + -6y2 = 2 + -1x + -8y Solving for variable 'x'. Reorder the terms: -2 + x + 5xy + 6x2 + 8y + -6y2 = 2 + -1x + -8y + -2 + x + 8y Reorder the terms: -2 + x + 5xy + 6x2 + 8y + -6y2 = 2 + -2 + -1x + x + -8y + 8y Combine like terms: 2 + -2 = 0 -2 + x + 5xy + 6x2 + 8y + -6y2 = 0 + -1x + x + -8y + 8y -2 + x + 5xy + 6x2 + 8y + -6y2 = -1x + x + -8y + 8y Combine like terms: -1x + x = 0 -2 + x + 5xy + 6x2 + 8y + -6y2 = 0 + -8y + 8y -2 + x + 5xy + 6x2 + 8y + -6y2 = -8y + 8y Combine like terms: -8y + 8y = 0 -2 + x + 5xy + 6x2 + 8y + -6y2 = 0 The solution to this equation could not be determined.
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