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Simplifying (18m + 11n)(18m + -11n) = 0 Multiply (18m + 11n) * (18m + -11n) (18m * (18m + -11n) + 11n * (18m + -11n)) = 0 ((18m * 18m + -11n * 18m) + 11n * (18m + -11n)) = 0 Reorder the terms: ((-198mn + 324m2) + 11n * (18m + -11n)) = 0 ((-198mn + 324m2) + 11n * (18m + -11n)) = 0 (-198mn + 324m2 + (18m * 11n + -11n * 11n)) = 0 (-198mn + 324m2 + (198mn + -121n2)) = 0 Reorder the terms: (-198mn + 198mn + 324m2 + -121n2) = 0 Combine like terms: -198mn + 198mn = 0 (0 + 324m2 + -121n2) = 0 (324m2 + -121n2) = 0 Solving 324m2 + -121n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '121n2' to each side of the equation. 324m2 + -121n2 + 121n2 = 0 + 121n2 Combine like terms: -121n2 + 121n2 = 0 324m2 + 0 = 0 + 121n2 324m2 = 0 + 121n2 Remove the zero: 324m2 = 121n2 Divide each side by '324'. m2 = 0.3734567901n2 Simplifying m2 = 0.3734567901n2 Take the square root of each side: m = {-0.611111111n, 0.611111111n}
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