(10m-1)(10m+1)=

Solution for (10m-1)(10m+1)= equation:

Simplifying
(10m + -1)(10m + 1) = 0

Reorder the terms:
(-1 + 10m)(10m + 1) = 0

Reorder the terms:
(-1 + 10m)(1 + 10m) = 0

Multiply (-1 + 10m) * (1 + 10m)
(-1(1 + 10m) + 10m * (1 + 10m)) = 0
((1 * -1 + 10m * -1) + 10m * (1 + 10m)) = 0
((-1 + -10m) + 10m * (1 + 10m)) = 0
(-1 + -10m + (1 * 10m + 10m * 10m)) = 0
(-1 + -10m + (10m + 100m2)) = 0

Combine like terms: -10m + 10m = 0
(-1 + 0 + 100m2) = 0
(-1 + 100m2) = 0

Solving
-1 + 100m2 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + 100m2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 100m2 = 0 + 1
100m2 = 0 + 1

Combine like terms: 0 + 1 = 1
100m2 = 1

Divide each side by '100'.
m2 = 0.01

Simplifying
m2 = 0.01

Take the square root of each side:
m = {-0.1, 0.1}