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Simplifying
(2b + -11)(2b + 11) = 0
Reorder the terms:
(-11 + 2b)(2b + 11) = 0
Reorder the terms:
(-11 + 2b)(11 + 2b) = 0
Multiply (-11 + 2b) * (11 + 2b)
(-11(11 + 2b) + 2b * (11 + 2b)) = 0
((11 * -11 + 2b * -11) + 2b * (11 + 2b)) = 0
((-121 + -22b) + 2b * (11 + 2b)) = 0
(-121 + -22b + (11 * 2b + 2b * 2b)) = 0
(-121 + -22b + (22b + 4b2)) = 0
Combine like terms: -22b + 22b = 0
(-121 + 0 + 4b2) = 0
(-121 + 4b2) = 0
Solving
-121 + 4b2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '121' to each side of the equation.
-121 + 121 + 4b2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 4b2 = 0 + 121
4b2 = 0 + 121
Combine like terms: 0 + 121 = 121
4b2 = 121
Divide each side by '4'.
b2 = 30.25
Simplifying
b2 = 30.25
Take the square root of each side:
b = {-5.5, 5.5}
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