(4a+b)(4a-b)=

Solution for (4a+b)(4a-b)= equation:

Simplifying
(4a + b)(4a + -1b) = 0

Multiply (4a + b) * (4a + -1b)
(4a * (4a + -1b) + b(4a + -1b)) = 0
((4a * 4a + -1b * 4a) + b(4a + -1b)) = 0

Reorder the terms:
((-4ab + 16a2) + b(4a + -1b)) = 0
((-4ab + 16a2) + b(4a + -1b)) = 0
(-4ab + 16a2 + (4a * b + -1b * b)) = 0
(-4ab + 16a2 + (4ab + -1b2)) = 0

Reorder the terms:
(-4ab + 4ab + 16a2 + -1b2) = 0

Combine like terms: -4ab + 4ab = 0
(0 + 16a2 + -1b2) = 0
(16a2 + -1b2) = 0

Solving
16a2 + -1b2 = 0

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
16a2 + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
16a2 + 0 = 0 + b2
16a2 = 0 + b2
Remove the zero:
16a2 = b2

Divide each side by '16'.
a2 = 0.0625b2

Simplifying
a2 = 0.0625b2

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