a^2-23a+102=

Solution for a^2-23a+102= equation:

Simplifying
a2 + -23a + 102 = 0

Reorder the terms:
102 + -23a + a2 = 0

Solving
102 + -23a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(6 + -1a)(17 + -1a) = 0

Subproblem 1
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

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

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

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Subproblem 2
Set the factor '(17 + -1a)' equal to zero and attempt to solve:

Simplifying
17 + -1a = 0

Solving
17 + -1a = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1a = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1a = 0 + -17
-1a = 0 + -17

Combine like terms: 0 + -17 = -17
-1a = -17

Divide each side by '-1'.
a = 17

Simplifying
a = 17
Solution
a = {6, 17}