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Simplifying (2x + 7y)(2X + 7y) = 0 Multiply (2x + 7y) * (2X + 7y) (2x * (2X + 7y) + 7y * (2X + 7y)) = 0 ((2X * 2x + 7y * 2x) + 7y * (2X + 7y)) = 0 ((4xX + 14xy) + 7y * (2X + 7y)) = 0 (4xX + 14xy + (2X * 7y + 7y * 7y)) = 0 (4xX + 14xy + (14yX + 49y2)) = 0 (4xX + 14xy + 14yX + 49y2) = 0 Solving 4xX + 14xy + 14yX + 49y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14yX' to each side of the equation. 4xX + 14xy + 14yX + -14yX + 49y2 = 0 + -14yX Combine like terms: 14yX + -14yX = 0 4xX + 14xy + 0 + 49y2 = 0 + -14yX 4xX + 14xy + 49y2 = 0 + -14yX Remove the zero: 4xX + 14xy + 49y2 = -14yX Add '-49y2' to each side of the equation. 4xX + 14xy + 49y2 + -49y2 = -14yX + -49y2 Combine like terms: 49y2 + -49y2 = 0 4xX + 14xy + 0 = -14yX + -49y2 4xX + 14xy = -14yX + -49y2 Reorder the terms: 4xX + 14xy + 14yX + 49y2 = -14yX + 14yX + -49y2 + 49y2 Combine like terms: -14yX + 14yX = 0 4xX + 14xy + 14yX + 49y2 = 0 + -49y2 + 49y2 4xX + 14xy + 14yX + 49y2 = -49y2 + 49y2 Combine like terms: -49y2 + 49y2 = 0 4xX + 14xy + 14yX + 49y2 = 0 The solution to this equation could not be determined.
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