5a^2+11ab+6b^2=

Solution for 5a^2+11ab+6b^2= equation:

Simplifying
5a2 + 11ab + 6b2 = 0

Reorder the terms:
11ab + 5a2 + 6b2 = 0

Solving
11ab + 5a2 + 6b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + b)(5a + 6b) = 0

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

Simplifying
a + b = 0

Solving
a + b = 0

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

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

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

Simplifying
a = -1b
Subproblem 2
Set the factor '(5a + 6b)' equal to zero and attempt to solve:

Simplifying
5a + 6b = 0

Solving
5a + 6b = 0

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

Add '-6b' to each side of the equation.
5a + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
5a + 0 = 0 + -6b
5a = 0 + -6b
Remove the zero:
5a = -6b

Divide each side by '5'.
a = -1.2b

Simplifying
a = -1.2b
Solution
a = {-1b, -1.2b}