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Simplifying (11x + y)(11x + -1y) = 0 Multiply (11x + y) * (11x + -1y) (11x * (11x + -1y) + y(11x + -1y)) = 0 ((11x * 11x + -1y * 11x) + y(11x + -1y)) = 0 Reorder the terms: ((-11xy + 121x2) + y(11x + -1y)) = 0 ((-11xy + 121x2) + y(11x + -1y)) = 0 (-11xy + 121x2 + (11x * y + -1y * y)) = 0 (-11xy + 121x2 + (11xy + -1y2)) = 0 Reorder the terms: (-11xy + 11xy + 121x2 + -1y2) = 0 Combine like terms: -11xy + 11xy = 0 (0 + 121x2 + -1y2) = 0 (121x2 + -1y2) = 0 Solving 121x2 + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 121x2 + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 121x2 + 0 = 0 + y2 121x2 = 0 + y2 Remove the zero: 121x2 = y2 Divide each side by '121'. x2 = 0.008264462810y2 Simplifying x2 = 0.008264462810y2 Take the square root of each side: x = {-0.090909091y, 0.090909091y}
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