(3a+11)(3a-11)=

Solution for (3a+11)(3a-11)= equation:

Simplifying
(3a + 11)(3a + -11) = 0

Reorder the terms:
(11 + 3a)(3a + -11) = 0

Reorder the terms:
(11 + 3a)(-11 + 3a) = 0

Multiply (11 + 3a) * (-11 + 3a)
(11(-11 + 3a) + 3a * (-11 + 3a)) = 0
((-11 * 11 + 3a * 11) + 3a * (-11 + 3a)) = 0
((-121 + 33a) + 3a * (-11 + 3a)) = 0
(-121 + 33a + (-11 * 3a + 3a * 3a)) = 0
(-121 + 33a + (-33a + 9a2)) = 0

Combine like terms: 33a + -33a = 0
(-121 + 0 + 9a2) = 0
(-121 + 9a2) = 0

Solving
-121 + 9a2 = 0

Solving for variable 'a'.

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

Add '121' to each side of the equation.
-121 + 121 + 9a2 = 0 + 121

Combine like terms: -121 + 121 = 0
0 + 9a2 = 0 + 121
9a2 = 0 + 121

Combine like terms: 0 + 121 = 121
9a2 = 121

Divide each side by '9'.
a2 = 13.44444444

Simplifying
a2 = 13.44444444

Take the square root of each side:
a = {-3.666666666, 3.666666666}