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Simplifying (5x + -4y)(5x + 4y) = 0 Multiply (5x + -4y) * (5x + 4y) (5x * (5x + 4y) + -4y * (5x + 4y)) = 0 ((5x * 5x + 4y * 5x) + -4y * (5x + 4y)) = 0 Reorder the terms: ((20xy + 25x2) + -4y * (5x + 4y)) = 0 ((20xy + 25x2) + -4y * (5x + 4y)) = 0 (20xy + 25x2 + (5x * -4y + 4y * -4y)) = 0 (20xy + 25x2 + (-20xy + -16y2)) = 0 Reorder the terms: (20xy + -20xy + 25x2 + -16y2) = 0 Combine like terms: 20xy + -20xy = 0 (0 + 25x2 + -16y2) = 0 (25x2 + -16y2) = 0 Solving 25x2 + -16y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16y2' to each side of the equation. 25x2 + -16y2 + 16y2 = 0 + 16y2 Combine like terms: -16y2 + 16y2 = 0 25x2 + 0 = 0 + 16y2 25x2 = 0 + 16y2 Remove the zero: 25x2 = 16y2 Divide each side by '25'. x2 = 0.64y2 Simplifying x2 = 0.64y2 Take the square root of each side: x = {-0.8y, 0.8y}
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