(9a-b)(9a+b)=

Solution for (9a-b)(9a+b)= equation:

Simplifying
(9a + -1b)(9a + b) = 0

Multiply (9a + -1b) * (9a + b)
(9a * (9a + b) + -1b * (9a + b)) = 0
((9a * 9a + b * 9a) + -1b * (9a + b)) = 0

Reorder the terms:
((9ab + 81a2) + -1b * (9a + b)) = 0
((9ab + 81a2) + -1b * (9a + b)) = 0
(9ab + 81a2 + (9a * -1b + b * -1b)) = 0
(9ab + 81a2 + (-9ab + -1b2)) = 0

Reorder the terms:
(9ab + -9ab + 81a2 + -1b2) = 0

Combine like terms: 9ab + -9ab = 0
(0 + 81a2 + -1b2) = 0
(81a2 + -1b2) = 0

Solving
81a2 + -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.
81a2 + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
81a2 + 0 = 0 + b2
81a2 = 0 + b2
Remove the zero:
81a2 = b2

Divide each side by '81'.
a2 = 0.01234567901b2

Simplifying
a2 = 0.01234567901b2

Take the square root of each side:
a = {-0.111111111b, 0.111111111b}