(4w+1)(4w-1)=

Solution for (4w+1)(4w-1)= equation:

Simplifying
(4w + 1)(4w + -1) = 0

Reorder the terms:
(1 + 4w)(4w + -1) = 0

Reorder the terms:
(1 + 4w)(-1 + 4w) = 0

Multiply (1 + 4w) * (-1 + 4w)
(1(-1 + 4w) + 4w * (-1 + 4w)) = 0
((-1 * 1 + 4w * 1) + 4w * (-1 + 4w)) = 0
((-1 + 4w) + 4w * (-1 + 4w)) = 0
(-1 + 4w + (-1 * 4w + 4w * 4w)) = 0
(-1 + 4w + (-4w + 16w2)) = 0

Combine like terms: 4w + -4w = 0
(-1 + 0 + 16w2) = 0
(-1 + 16w2) = 0

Solving
-1 + 16w2 = 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 + 16w2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 16w2 = 0 + 1
16w2 = 0 + 1

Combine like terms: 0 + 1 = 1
16w2 = 1

Divide each side by '16'.
w2 = 0.0625

Simplifying
w2 = 0.0625

Take the square root of each side:
w = {-0.25, 0.25}