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

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

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

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

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

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

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

Solving
-4 + 49m2 = 0

Solving for variable 'm'.

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

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

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

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

Divide each side by '49'.
m2 = 0.08163265306

Simplifying
m2 = 0.08163265306

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