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Simplifying (4x + 7y)(4x + -7y) = 0 Multiply (4x + 7y) * (4x + -7y) (4x * (4x + -7y) + 7y * (4x + -7y)) = 0 ((4x * 4x + -7y * 4x) + 7y * (4x + -7y)) = 0 Reorder the terms: ((-28xy + 16x2) + 7y * (4x + -7y)) = 0 ((-28xy + 16x2) + 7y * (4x + -7y)) = 0 (-28xy + 16x2 + (4x * 7y + -7y * 7y)) = 0 (-28xy + 16x2 + (28xy + -49y2)) = 0 Reorder the terms: (-28xy + 28xy + 16x2 + -49y2) = 0 Combine like terms: -28xy + 28xy = 0 (0 + 16x2 + -49y2) = 0 (16x2 + -49y2) = 0 Solving 16x2 + -49y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49y2' to each side of the equation. 16x2 + -49y2 + 49y2 = 0 + 49y2 Combine like terms: -49y2 + 49y2 = 0 16x2 + 0 = 0 + 49y2 16x2 = 0 + 49y2 Remove the zero: 16x2 = 49y2 Divide each side by '16'. x2 = 3.0625y2 Simplifying x2 = 3.0625y2 Take the square root of each side: x = {-1.75y, 1.75y}
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