a^2+29a+54=0

Solution for a^2+29a+54=0 equation:

Simplifying
a2 + 29a + 54 = 0

Reorder the terms:
54 + 29a + a2 = 0

Solving
54 + 29a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(27 + a)(2 + a) = 0

Subproblem 1
Set the factor '(27 + a)' equal to zero and attempt to solve:

Simplifying
27 + a = 0

Solving
27 + a = 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 + a = 0 + -27

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

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

Simplifying
a = -27
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 = {-27, -2}