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Simplifying (4x + y)(x + 4y) + -17xy = 0 Multiply (4x + y) * (x + 4y) (4x * (x + 4y) + y(x + 4y)) + -17xy = 0 ((x * 4x + 4y * 4x) + y(x + 4y)) + -17xy = 0 Reorder the terms: ((16xy + 4x2) + y(x + 4y)) + -17xy = 0 ((16xy + 4x2) + y(x + 4y)) + -17xy = 0 (16xy + 4x2 + (x * y + 4y * y)) + -17xy = 0 (16xy + 4x2 + (xy + 4y2)) + -17xy = 0 Reorder the terms: (16xy + xy + 4x2 + 4y2) + -17xy = 0 Combine like terms: 16xy + xy = 17xy (17xy + 4x2 + 4y2) + -17xy = 0 Reorder the terms: 17xy + -17xy + 4x2 + 4y2 = 0 Combine like terms: 17xy + -17xy = 0 0 + 4x2 + 4y2 = 0 4x2 + 4y2 = 0 Solving 4x2 + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = 0 + -4y2 4x2 = 0 + -4y2 Remove the zero: 4x2 = -4y2 Divide each side by '4'. x2 = -1y2 Simplifying x2 = -1y2 Combine like terms: -1y2 + y2 = 0 x2 + y2 = 0 The solution to this equation could not be determined.
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