a^2-18a+32=0

Solution for a^2-18a+32=0 equation:

Simplifying
a2 + -18a + 32 = 0

Reorder the terms:
32 + -18a + a2 = 0

Solving
32 + -18a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -1a)(16 + -1a) = 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 '(16 + -1a)' equal to zero and attempt to solve:

Simplifying
16 + -1a = 0

Solving
16 + -1a = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1a = 0 + -16

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

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

Divide each side by '-1'.
a = 16

Simplifying
a = 16
Solution
a = {2, 16}