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Simplifying (8x + 3y)(8x + -3y) = 0 Multiply (8x + 3y) * (8x + -3y) (8x * (8x + -3y) + 3y * (8x + -3y)) = 0 ((8x * 8x + -3y * 8x) + 3y * (8x + -3y)) = 0 Reorder the terms: ((-24xy + 64x2) + 3y * (8x + -3y)) = 0 ((-24xy + 64x2) + 3y * (8x + -3y)) = 0 (-24xy + 64x2 + (8x * 3y + -3y * 3y)) = 0 (-24xy + 64x2 + (24xy + -9y2)) = 0 Reorder the terms: (-24xy + 24xy + 64x2 + -9y2) = 0 Combine like terms: -24xy + 24xy = 0 (0 + 64x2 + -9y2) = 0 (64x2 + -9y2) = 0 Solving 64x2 + -9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y2' to each side of the equation. 64x2 + -9y2 + 9y2 = 0 + 9y2 Combine like terms: -9y2 + 9y2 = 0 64x2 + 0 = 0 + 9y2 64x2 = 0 + 9y2 Remove the zero: 64x2 = 9y2 Divide each side by '64'. x2 = 0.140625y2 Simplifying x2 = 0.140625y2 Take the square root of each side: x = {-0.375y, 0.375y}
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