(7m+3n)(7m+3n)=

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Solution for (7m+3n)(7m+3n)= equation: 


Simplifying
(7m + 3n)(7m + 3n) = 0

Multiply (7m + 3n) * (7m + 3n)
(7m * (7m + 3n) + 3n * (7m + 3n)) = 0
((7m * 7m + 3n * 7m) + 3n * (7m + 3n)) = 0

Reorder the terms:
((21mn + 49m2) + 3n * (7m + 3n)) = 0
((21mn + 49m2) + 3n * (7m + 3n)) = 0
(21mn + 49m2 + (7m * 3n + 3n * 3n)) = 0
(21mn + 49m2 + (21mn + 9n2)) = 0

Reorder the terms:
(21mn + 21mn + 49m2 + 9n2) = 0

Combine like terms: 21mn + 21mn = 42mn
(42mn + 49m2 + 9n2) = 0

Solving
42mn + 49m2 + 9n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7m + 3n)(7m + 3n) = 0


Subproblem 1
Set the factor '(7m + 3n)' equal to zero and attempt to solve:

Simplifying
7m + 3n = 0

Solving
7m + 3n = 0

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

Add '-3n' to each side of the equation.
7m + 3n + -3n = 0 + -3n

Combine like terms: 3n + -3n = 0
7m + 0 = 0 + -3n
7m = 0 + -3n
Remove the zero:
7m = -3n

Divide each side by '7'.
m = -0.4285714286n

Simplifying
m = -0.4285714286n

Subproblem 2
Set the factor '(7m + 3n)' equal to zero and attempt to solve:

Simplifying
7m + 3n = 0

Solving
7m + 3n = 0

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

Add '-3n' to each side of the equation.
7m + 3n + -3n = 0 + -3n

Combine like terms: 3n + -3n = 0
7m + 0 = 0 + -3n
7m = 0 + -3n
Remove the zero:
7m = -3n

Divide each side by '7'.
m = -0.4285714286n

Simplifying
m = -0.4285714286n
Solution
m = {-0.4285714286n, -0.4285714286n}

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