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Simplifying (4x + 4y)(4x + -4y) = 0 Multiply (4x + 4y) * (4x + -4y) (4x * (4x + -4y) + 4y * (4x + -4y)) = 0 ((4x * 4x + -4y * 4x) + 4y * (4x + -4y)) = 0 Reorder the terms: ((-16xy + 16x2) + 4y * (4x + -4y)) = 0 ((-16xy + 16x2) + 4y * (4x + -4y)) = 0 (-16xy + 16x2 + (4x * 4y + -4y * 4y)) = 0 (-16xy + 16x2 + (16xy + -16y2)) = 0 Reorder the terms: (-16xy + 16xy + 16x2 + -16y2) = 0 Combine like terms: -16xy + 16xy = 0 (0 + 16x2 + -16y2) = 0 (16x2 + -16y2) = 0 Solving 16x2 + -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. 16x2 + -16y2 + 16y2 = 0 + 16y2 Combine like terms: -16y2 + 16y2 = 0 16x2 + 0 = 0 + 16y2 16x2 = 0 + 16y2 Remove the zero: 16x2 = 16y2 Divide each side by '16'. x2 = y2 Simplifying x2 = y2 Take the square root of each side: x = {-1y, y}
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