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Simplifying (7Y + 5X)(7Y + -5X) = 0 Reorder the terms: (5X + 7Y)(7Y + -5X) = 0 Reorder the terms: (5X + 7Y)(-5X + 7Y) = 0 Multiply (5X + 7Y) * (-5X + 7Y) (5X * (-5X + 7Y) + 7Y * (-5X + 7Y)) = 0 ((-5X * 5X + 7Y * 5X) + 7Y * (-5X + 7Y)) = 0 Reorder the terms: ((35XY + -25X2) + 7Y * (-5X + 7Y)) = 0 ((35XY + -25X2) + 7Y * (-5X + 7Y)) = 0 (35XY + -25X2 + (-5X * 7Y + 7Y * 7Y)) = 0 (35XY + -25X2 + (-35XY + 49Y2)) = 0 Reorder the terms: (35XY + -35XY + -25X2 + 49Y2) = 0 Combine like terms: 35XY + -35XY = 0 (0 + -25X2 + 49Y2) = 0 (-25X2 + 49Y2) = 0 Solving -25X2 + 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. -25X2 + 49Y2 + -49Y2 = 0 + -49Y2 Combine like terms: 49Y2 + -49Y2 = 0 -25X2 + 0 = 0 + -49Y2 -25X2 = 0 + -49Y2 Remove the zero: -25X2 = -49Y2 Divide each side by '-25'. X2 = 1.96Y2 Simplifying X2 = 1.96Y2 Take the square root of each side: X = {-1.4Y, 1.4Y}
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