=(2m-1)(2m+1)

Solution for =(2m-1)(2m+1) equation:

Simplifying
0 = (2m + -1)(2m + 1)

Reorder the terms:
0 = (-1 + 2m)(2m + 1)

Reorder the terms:
0 = (-1 + 2m)(1 + 2m)

Multiply (-1 + 2m) * (1 + 2m)
0 = (-1(1 + 2m) + 2m * (1 + 2m))
0 = ((1 * -1 + 2m * -1) + 2m * (1 + 2m))
0 = ((-1 + -2m) + 2m * (1 + 2m))
0 = (-1 + -2m + (1 * 2m + 2m * 2m))
0 = (-1 + -2m + (2m + 4m2))

Combine like terms: -2m + 2m = 0
0 = (-1 + 0 + 4m2)
0 = (-1 + 4m2)

Solving
0 = -1 + 4m2

Solving for variable 'm'.

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

Add '-4m2' to each side of the equation.
0 + -4m2 = -1 + 4m2 + -4m2
Remove the zero:
-4m2 = -1 + 4m2 + -4m2

Combine like terms: 4m2 + -4m2 = 0
-4m2 = -1 + 0
-4m2 = -1

Divide each side by '-4'.
m2 = 0.25

Simplifying
m2 = 0.25

Take the square root of each side:
m = {-0.5, 0.5}