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Simplifying (10x + -11y)(10x + 11y) = 0 Multiply (10x + -11y) * (10x + 11y) (10x * (10x + 11y) + -11y * (10x + 11y)) = 0 ((10x * 10x + 11y * 10x) + -11y * (10x + 11y)) = 0 Reorder the terms: ((110xy + 100x2) + -11y * (10x + 11y)) = 0 ((110xy + 100x2) + -11y * (10x + 11y)) = 0 (110xy + 100x2 + (10x * -11y + 11y * -11y)) = 0 (110xy + 100x2 + (-110xy + -121y2)) = 0 Reorder the terms: (110xy + -110xy + 100x2 + -121y2) = 0 Combine like terms: 110xy + -110xy = 0 (0 + 100x2 + -121y2) = 0 (100x2 + -121y2) = 0 Solving 100x2 + -121y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '121y2' to each side of the equation. 100x2 + -121y2 + 121y2 = 0 + 121y2 Combine like terms: -121y2 + 121y2 = 0 100x2 + 0 = 0 + 121y2 100x2 = 0 + 121y2 Remove the zero: 100x2 = 121y2 Divide each side by '100'. x2 = 1.21y2 Simplifying x2 = 1.21y2 Take the square root of each side: x = {-1.1y, 1.1y}
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