(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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