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Simplifying
(2a + -11)(2a + 11) = 0
Reorder the terms:
(-11 + 2a)(2a + 11) = 0
Reorder the terms:
(-11 + 2a)(11 + 2a) = 0
Multiply (-11 + 2a) * (11 + 2a)
(-11(11 + 2a) + 2a * (11 + 2a)) = 0
((11 * -11 + 2a * -11) + 2a * (11 + 2a)) = 0
((-121 + -22a) + 2a * (11 + 2a)) = 0
(-121 + -22a + (11 * 2a + 2a * 2a)) = 0
(-121 + -22a + (22a + 4a2)) = 0
Combine like terms: -22a + 22a = 0
(-121 + 0 + 4a2) = 0
(-121 + 4a2) = 0
Solving
-121 + 4a2 = 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 + 4a2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 4a2 = 0 + 121
4a2 = 0 + 121
Combine like terms: 0 + 121 = 121
4a2 = 121
Divide each side by '4'.
a2 = 30.25
Simplifying
a2 = 30.25
Take the square root of each side:
a = {-5.5, 5.5}
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