(10w-1)(10w+1)=

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

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

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

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

Multiply (-1 + 10w) * (1 + 10w)
(-1(1 + 10w) + 10w * (1 + 10w)) = 0
((1 * -1 + 10w * -1) + 10w * (1 + 10w)) = 0
((-1 + -10w) + 10w * (1 + 10w)) = 0
(-1 + -10w + (1 * 10w + 10w * 10w)) = 0
(-1 + -10w + (10w + 100w2)) = 0

Combine like terms: -10w + 10w = 0
(-1 + 0 + 100w2) = 0
(-1 + 100w2) = 0

Solving
-1 + 100w2 = 0

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 1 + 100w2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 100w2 = 0 + 1
100w2 = 0 + 1

Combine like terms: 0 + 1 = 1
100w2 = 1

Divide each side by '100'.
w2 = 0.01

Simplifying
w2 = 0.01

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