16=a(a-6)

Solution for 16=a(a-6) equation:

Simplifying
16 = a(a + -6)

Reorder the terms:
16 = a(-6 + a)
16 = (-6 * a + a * a)
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.
(8 + -1a)(2 + a) = 0

Subproblem 1
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 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 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

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

Simplifying
2 + a = 0

Solving
2 + a = 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 + a = 0 + -2

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

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

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