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Simplifying (4x + 9y)(4x + -9y) = 0 Multiply (4x + 9y) * (4x + -9y) (4x * (4x + -9y) + 9y * (4x + -9y)) = 0 ((4x * 4x + -9y * 4x) + 9y * (4x + -9y)) = 0 Reorder the terms: ((-36xy + 16x2) + 9y * (4x + -9y)) = 0 ((-36xy + 16x2) + 9y * (4x + -9y)) = 0 (-36xy + 16x2 + (4x * 9y + -9y * 9y)) = 0 (-36xy + 16x2 + (36xy + -81y2)) = 0 Reorder the terms: (-36xy + 36xy + 16x2 + -81y2) = 0 Combine like terms: -36xy + 36xy = 0 (0 + 16x2 + -81y2) = 0 (16x2 + -81y2) = 0 Solving 16x2 + -81y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81y2' to each side of the equation. 16x2 + -81y2 + 81y2 = 0 + 81y2 Combine like terms: -81y2 + 81y2 = 0 16x2 + 0 = 0 + 81y2 16x2 = 0 + 81y2 Remove the zero: 16x2 = 81y2 Divide each side by '16'. x2 = 5.0625y2 Simplifying x2 = 5.0625y2 Take the square root of each side: x = {-2.25y, 2.25y}
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