(3m+4n)(3m+4n)=

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Solution for (3m+4n)(3m+4n)= equation: 


Simplifying
(3m + 4n)(3m + 4n) = 0

Multiply (3m + 4n) * (3m + 4n)
(3m * (3m + 4n) + 4n * (3m + 4n)) = 0
((3m * 3m + 4n * 3m) + 4n * (3m + 4n)) = 0

Reorder the terms:
((12mn + 9m2) + 4n * (3m + 4n)) = 0
((12mn + 9m2) + 4n * (3m + 4n)) = 0
(12mn + 9m2 + (3m * 4n + 4n * 4n)) = 0
(12mn + 9m2 + (12mn + 16n2)) = 0

Reorder the terms:
(12mn + 12mn + 9m2 + 16n2) = 0

Combine like terms: 12mn + 12mn = 24mn
(24mn + 9m2 + 16n2) = 0

Solving
24mn + 9m2 + 16n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3m + 4n)(3m + 4n) = 0


Subproblem 1
Set the factor '(3m + 4n)' equal to zero and attempt to solve:

Simplifying
3m + 4n = 0

Solving
3m + 4n = 0

Move all terms containing m to the left, all other terms to the right.

Add '-4n' to each side of the equation.
3m + 4n + -4n = 0 + -4n

Combine like terms: 4n + -4n = 0
3m + 0 = 0 + -4n
3m = 0 + -4n
Remove the zero:
3m = -4n

Divide each side by '3'.
m = -1.333333333n

Simplifying
m = -1.333333333n

Subproblem 2
Set the factor '(3m + 4n)' equal to zero and attempt to solve:

Simplifying
3m + 4n = 0

Solving
3m + 4n = 0

Move all terms containing m to the left, all other terms to the right.

Add '-4n' to each side of the equation.
3m + 4n + -4n = 0 + -4n

Combine like terms: 4n + -4n = 0
3m + 0 = 0 + -4n
3m = 0 + -4n
Remove the zero:
3m = -4n

Divide each side by '3'.
m = -1.333333333n

Simplifying
m = -1.333333333n
Solution
m = {-1.333333333n, -1.333333333n}

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