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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}
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