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Simplifying (9m + 4n)(9m + -4n) = 0 Multiply (9m + 4n) * (9m + -4n) (9m * (9m + -4n) + 4n * (9m + -4n)) = 0 ((9m * 9m + -4n * 9m) + 4n * (9m + -4n)) = 0 Reorder the terms: ((-36mn + 81m2) + 4n * (9m + -4n)) = 0 ((-36mn + 81m2) + 4n * (9m + -4n)) = 0 (-36mn + 81m2 + (9m * 4n + -4n * 4n)) = 0 (-36mn + 81m2 + (36mn + -16n2)) = 0 Reorder the terms: (-36mn + 36mn + 81m2 + -16n2) = 0 Combine like terms: -36mn + 36mn = 0 (0 + 81m2 + -16n2) = 0 (81m2 + -16n2) = 0 Solving 81m2 + -16n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16n2' to each side of the equation. 81m2 + -16n2 + 16n2 = 0 + 16n2 Combine like terms: -16n2 + 16n2 = 0 81m2 + 0 = 0 + 16n2 81m2 = 0 + 16n2 Remove the zero: 81m2 = 16n2 Divide each side by '81'. m2 = 0.1975308642n2 Simplifying m2 = 0.1975308642n2 Take the square root of each side: m = {-0.444444444n, 0.444444444n}
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