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Simplifying (7y + -8x)(7y + 8x) = 0 Reorder the terms: (-8x + 7y)(7y + 8x) = 0 Reorder the terms: (-8x + 7y)(8x + 7y) = 0 Multiply (-8x + 7y) * (8x + 7y) (-8x * (8x + 7y) + 7y * (8x + 7y)) = 0 ((8x * -8x + 7y * -8x) + 7y * (8x + 7y)) = 0 Reorder the terms: ((-56xy + -64x2) + 7y * (8x + 7y)) = 0 ((-56xy + -64x2) + 7y * (8x + 7y)) = 0 (-56xy + -64x2 + (8x * 7y + 7y * 7y)) = 0 (-56xy + -64x2 + (56xy + 49y2)) = 0 Reorder the terms: (-56xy + 56xy + -64x2 + 49y2) = 0 Combine like terms: -56xy + 56xy = 0 (0 + -64x2 + 49y2) = 0 (-64x2 + 49y2) = 0 Solving -64x2 + 49y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49y2' to each side of the equation. -64x2 + 49y2 + -49y2 = 0 + -49y2 Combine like terms: 49y2 + -49y2 = 0 -64x2 + 0 = 0 + -49y2 -64x2 = 0 + -49y2 Remove the zero: -64x2 = -49y2 Divide each side by '-64'. x2 = 0.765625y2 Simplifying x2 = 0.765625y2 Take the square root of each side: x = {-0.875y, 0.875y}
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