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Simplifying (5x + 8y)(5x + -8y) = 0 Multiply (5x + 8y) * (5x + -8y) (5x * (5x + -8y) + 8y * (5x + -8y)) = 0 ((5x * 5x + -8y * 5x) + 8y * (5x + -8y)) = 0 Reorder the terms: ((-40xy + 25x2) + 8y * (5x + -8y)) = 0 ((-40xy + 25x2) + 8y * (5x + -8y)) = 0 (-40xy + 25x2 + (5x * 8y + -8y * 8y)) = 0 (-40xy + 25x2 + (40xy + -64y2)) = 0 Reorder the terms: (-40xy + 40xy + 25x2 + -64y2) = 0 Combine like terms: -40xy + 40xy = 0 (0 + 25x2 + -64y2) = 0 (25x2 + -64y2) = 0 Solving 25x2 + -64y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64y2' to each side of the equation. 25x2 + -64y2 + 64y2 = 0 + 64y2 Combine like terms: -64y2 + 64y2 = 0 25x2 + 0 = 0 + 64y2 25x2 = 0 + 64y2 Remove the zero: 25x2 = 64y2 Divide each side by '25'. x2 = 2.56y2 Simplifying x2 = 2.56y2 Take the square root of each side: x = {-1.6y, 1.6y}
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