16=a^2+6a

Solution for 16=a^2+6a equation:

Simplifying
16 = a2 + 6a

Reorder the terms:
16 = 6a + a2

Solving
16 = 6a + a2

Solving for variable 'a'.

Reorder the terms:
16 + -6a + -1a2 = 6a + -6a + a2 + -1a2

Combine like terms: 6a + -6a = 0
16 + -6a + -1a2 = 0 + a2 + -1a2
16 + -6a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
16 + -6a + -1a2 = 0

Factor a trinomial.
(2 + -1a)(8 + a) = 0

Subproblem 1
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 2
Set the factor '(8 + a)' equal to zero and attempt to solve:

Simplifying
8 + a = 0

Solving
8 + a = 0

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

Add '-8' to each side of the equation.
8 + -8 + a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + a = 0 + -8
a = 0 + -8

Combine like terms: 0 + -8 = -8
a = -8

Simplifying
a = -8
Solution
a = {2, -8}