(8m+5)(8m-5)=0

Solution for (8m+5)(8m-5)=0 equation:

Simplifying
(8m + 5)(8m + -5) = 0

Reorder the terms:
(5 + 8m)(8m + -5) = 0

Reorder the terms:
(5 + 8m)(-5 + 8m) = 0

Multiply (5 + 8m) * (-5 + 8m)
(5(-5 + 8m) + 8m * (-5 + 8m)) = 0
((-5 * 5 + 8m * 5) + 8m * (-5 + 8m)) = 0
((-25 + 40m) + 8m * (-5 + 8m)) = 0
(-25 + 40m + (-5 * 8m + 8m * 8m)) = 0
(-25 + 40m + (-40m + 64m2)) = 0

Combine like terms: 40m + -40m = 0
(-25 + 0 + 64m2) = 0
(-25 + 64m2) = 0

Solving
-25 + 64m2 = 0

Solving for variable 'm'.

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

Add '25' to each side of the equation.
-25 + 25 + 64m2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 64m2 = 0 + 25
64m2 = 0 + 25

Combine like terms: 0 + 25 = 25
64m2 = 25

Divide each side by '64'.
m2 = 0.390625

Simplifying
m2 = 0.390625

Take the square root of each side:
m = {-0.625, 0.625}