(18m+11n)(18m-11n)=

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Solution for (18m+11n)(18m-11n)= equation:


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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