(11a+8b)(11a-8b)=

Solution for (11a+8b)(11a-8b)= equation:

Simplifying
(11a + 8b)(11a + -8b) = 0

Multiply (11a + 8b) * (11a + -8b)
(11a * (11a + -8b) + 8b * (11a + -8b)) = 0
((11a * 11a + -8b * 11a) + 8b * (11a + -8b)) = 0

Reorder the terms:
((-88ab + 121a2) + 8b * (11a + -8b)) = 0
((-88ab + 121a2) + 8b * (11a + -8b)) = 0
(-88ab + 121a2 + (11a * 8b + -8b * 8b)) = 0
(-88ab + 121a2 + (88ab + -64b2)) = 0

Reorder the terms:
(-88ab + 88ab + 121a2 + -64b2) = 0

Combine like terms: -88ab + 88ab = 0
(0 + 121a2 + -64b2) = 0
(121a2 + -64b2) = 0

Solving
121a2 + -64b2 = 0

Solving for variable 'a'.

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

Add '64b2' to each side of the equation.
121a2 + -64b2 + 64b2 = 0 + 64b2

Combine like terms: -64b2 + 64b2 = 0
121a2 + 0 = 0 + 64b2
121a2 = 0 + 64b2
Remove the zero:
121a2 = 64b2

Divide each side by '121'.
a2 = 0.5289256198b2

Simplifying
a2 = 0.5289256198b2

Take the square root of each side:
a = {-0.727272727b, 0.727272727b}