(7m+2n)(7m-2n)=

Solution for (7m+2n)(7m-2n)= equation:

Simplifying
(7m + 2n)(7m + -2n) = 0

Multiply (7m + 2n) * (7m + -2n)
(7m * (7m + -2n) + 2n * (7m + -2n)) = 0
((7m * 7m + -2n * 7m) + 2n * (7m + -2n)) = 0

Reorder the terms:
((-14mn + 49m2) + 2n * (7m + -2n)) = 0
((-14mn + 49m2) + 2n * (7m + -2n)) = 0
(-14mn + 49m2 + (7m * 2n + -2n * 2n)) = 0
(-14mn + 49m2 + (14mn + -4n2)) = 0

Reorder the terms:
(-14mn + 14mn + 49m2 + -4n2) = 0

Combine like terms: -14mn + 14mn = 0
(0 + 49m2 + -4n2) = 0
(49m2 + -4n2) = 0

Solving
49m2 + -4n2 = 0

Solving for variable 'm'.

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

Add '4n2' to each side of the equation.
49m2 + -4n2 + 4n2 = 0 + 4n2

Combine like terms: -4n2 + 4n2 = 0
49m2 + 0 = 0 + 4n2
49m2 = 0 + 4n2
Remove the zero:
49m2 = 4n2

Divide each side by '49'.
m2 = 0.08163265306n2

Simplifying
m2 = 0.08163265306n2

Take the square root of each side:
m = {-0.285714286n, 0.285714286n}