a^2-39a+324=0

Solution for a^2-39a+324=0 equation:

Simplifying
a2 + -39a + 324 = 0

Reorder the terms:
324 + -39a + a2 = 0

Solving
324 + -39a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(12 + -1a)(27 + -1a) = 0

Subproblem 1
Set the factor '(12 + -1a)' equal to zero and attempt to solve:

Simplifying
12 + -1a = 0

Solving
12 + -1a = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = 0 + -12
-1a = 0 + -12

Combine like terms: 0 + -12 = -12
-1a = -12

Divide each side by '-1'.
a = 12

Simplifying
a = 12
Subproblem 2
Set the factor '(27 + -1a)' equal to zero and attempt to solve:

Simplifying
27 + -1a = 0

Solving
27 + -1a = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1a = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1a = 0 + -27
-1a = 0 + -27

Combine like terms: 0 + -27 = -27
-1a = -27

Divide each side by '-1'.
a = 27

Simplifying
a = 27
Solution
a = {12, 27}