(3m+7)(3m-7)=

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

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

Reorder the terms:
(7 + 3m)(3m + -7) = 0

Reorder the terms:
(7 + 3m)(-7 + 3m) = 0

Multiply (7 + 3m) * (-7 + 3m)
(7(-7 + 3m) + 3m * (-7 + 3m)) = 0
((-7 * 7 + 3m * 7) + 3m * (-7 + 3m)) = 0
((-49 + 21m) + 3m * (-7 + 3m)) = 0
(-49 + 21m + (-7 * 3m + 3m * 3m)) = 0
(-49 + 21m + (-21m + 9m2)) = 0

Combine like terms: 21m + -21m = 0
(-49 + 0 + 9m2) = 0
(-49 + 9m2) = 0

Solving
-49 + 9m2 = 0

Solving for variable 'm'.

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

Add '49' to each side of the equation.
-49 + 49 + 9m2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 9m2 = 0 + 49
9m2 = 0 + 49

Combine like terms: 0 + 49 = 49
9m2 = 49

Divide each side by '9'.
m2 = 5.444444444

Simplifying
m2 = 5.444444444

Take the square root of each side:
m = {-2.333333333, 2.333333333}