(4u-1)(4u+1)=

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

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

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

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

Multiply (-1 + 4u) * (1 + 4u)
(-1(1 + 4u) + 4u * (1 + 4u)) = 0
((1 * -1 + 4u * -1) + 4u * (1 + 4u)) = 0
((-1 + -4u) + 4u * (1 + 4u)) = 0
(-1 + -4u + (1 * 4u + 4u * 4u)) = 0
(-1 + -4u + (4u + 16u2)) = 0

Combine like terms: -4u + 4u = 0
(-1 + 0 + 16u2) = 0
(-1 + 16u2) = 0

Solving
-1 + 16u2 = 0

Solving for variable 'u'.

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

Add '1' to each side of the equation.
-1 + 1 + 16u2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 16u2 = 0 + 1
16u2 = 0 + 1

Combine like terms: 0 + 1 = 1
16u2 = 1

Divide each side by '16'.
u2 = 0.0625

Simplifying
u2 = 0.0625

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