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

Solution for (2m-7)(2m+7)=0 equation:

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

Reorder the terms:
(-7 + 2m)(2m + 7) = 0

Reorder the terms:
(-7 + 2m)(7 + 2m) = 0

Multiply (-7 + 2m) * (7 + 2m)
(-7(7 + 2m) + 2m * (7 + 2m)) = 0
((7 * -7 + 2m * -7) + 2m * (7 + 2m)) = 0
((-49 + -14m) + 2m * (7 + 2m)) = 0
(-49 + -14m + (7 * 2m + 2m * 2m)) = 0
(-49 + -14m + (14m + 4m2)) = 0

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

Solving
-49 + 4m2 = 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 + 4m2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4m2 = 0 + 49
4m2 = 0 + 49

Combine like terms: 0 + 49 = 49
4m2 = 49

Divide each side by '4'.
m2 = 12.25

Simplifying
m2 = 12.25

Take the square root of each side:
m = {-3.5, 3.5}