11a^2+122ab+11b^2=

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Solution for 11a^2+122ab+11b^2= equation: 


Simplifying
11a2 + 122ab + 11b2 = 0

Reorder the terms:
122ab + 11a2 + 11b2 = 0

Solving
122ab + 11a2 + 11b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(11a + b)(a + 11b) = 0


Subproblem 1
Set the factor '(11a + b)' equal to zero and attempt to solve:

Simplifying
11a + b = 0

Solving
11a + b = 0

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

Add '-1b' to each side of the equation.
11a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
11a + 0 = 0 + -1b
11a = 0 + -1b
Remove the zero:
11a = -1b

Divide each side by '11'.
a = -0.09090909091b

Simplifying
a = -0.09090909091b

Subproblem 2
Set the factor '(a + 11b)' equal to zero and attempt to solve:

Simplifying
a + 11b = 0

Solving
a + 11b = 0

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

Add '-11b' to each side of the equation.
a + 11b + -11b = 0 + -11b

Combine like terms: 11b + -11b = 0
a + 0 = 0 + -11b
a = 0 + -11b
Remove the zero:
a = -11b

Simplifying
a = -11b
Solution
a = {-0.09090909091b, -11b}

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