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Simplifying
(11a + 2b)(11a + -2b) = 0
Multiply (11a + 2b) * (11a + -2b)
(11a * (11a + -2b) + 2b * (11a + -2b)) = 0
((11a * 11a + -2b * 11a) + 2b * (11a + -2b)) = 0
Reorder the terms:
((-22ab + 121a2) + 2b * (11a + -2b)) = 0
((-22ab + 121a2) + 2b * (11a + -2b)) = 0
(-22ab + 121a2 + (11a * 2b + -2b * 2b)) = 0
(-22ab + 121a2 + (22ab + -4b2)) = 0
Reorder the terms:
(-22ab + 22ab + 121a2 + -4b2) = 0
Combine like terms: -22ab + 22ab = 0
(0 + 121a2 + -4b2) = 0
(121a2 + -4b2) = 0
Solving
121a2 + -4b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '4b2' to each side of the equation.
121a2 + -4b2 + 4b2 = 0 + 4b2
Combine like terms: -4b2 + 4b2 = 0
121a2 + 0 = 0 + 4b2
121a2 = 0 + 4b2
Remove the zero:
121a2 = 4b2
Divide each side by '121'.
a2 = 0.03305785124b2
Simplifying
a2 = 0.03305785124b2
Take the square root of each side:
a = {-0.181818182b, 0.181818182b}
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